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Differential Equations

Ordinary and Partial Differential Equations, Linear and Nonlinear; also Integral and Integro-Differential Equations
Ackbach
  • Sticky
Solving Rational ODE's of the form (ax+by+c) dx+(ex+fy+g) dy=0.
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0
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4K
Ackbach
Ackbach
Ackbach
  • Sticky
Bessel Functions Cheat Sheet
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0
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8K
Ackbach
Ackbach
Ackbach
  • Sticky
Stürm-Liouville Problem Cheat Sheet
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0
Views
8K
Ackbach
Ackbach
Chris L T521
  • Locked
  • Sticky
DE Tutorial - Chapter 1: The Basics of Ordinary Differential Equations
Replies
1
Views
11K
Chris L T521
Chris L T521
Chris L T521
  • Sticky
Status of DE Tutorial
Replies
4
Views
9K
MarkFL
M
C
Writing PDE in terms of x and y
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3
Views
83
Klaas van Aarsen
Klaas van Aarsen
karush
[SOLVED] -b.1.3.17 y''+y'-6y=0 Find values of r of the form y = e^{rt}
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3
Views
197
karush
karush
karush
-b.1.1.4 directional field as t \to \infny
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2
Views
123
Country Boy
C
evinda
How do we choose this function?
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2
Views
242
Country Boy
C
karush
-b.1.3.12 .... is a solution of the DE
Replies
3
Views
171
topsquark
topsquark
karush
[SOLVED] -b.2.7.2 Euler's method y'=3+y-y y(0) =1
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9
Views
1K
karush
karush
karush
[SOLVED] b.2.2.24 separate variables
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10
Views
197
karush
karush
karush
b.2.2.2 solve DE ...separate variables
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5
Views
110
romsek
R
karush
[SOLVED] -t1.13 IVP \frac{ds}{dt}&=12t(3t^2-1)^3 ,s(1)=3\
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2
Views
2K
karush
karush
karush
[SOLVED] b.2.2.16 IVP of \dfrac{x(x^2+1)}{4y^3}, y(0)=-\dfrac{1}{\sqrt{2}}
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6
Views
230
karush
karush
karush
[SOLVED] -2.1.1 DE Find the general solution
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5
Views
271
Country Boy
C
karush
[SOLVED] -b.2.1.15 ty'+2y=t^2-t+1 IVP
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5
Views
216
Prove It
P
karush
[SOLVED] -b.1.3.10 Verify the following given functions is a solution of the differential equation
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3
Views
987
karush
karush
karush
2.1.2 Find the general solution of y'−2y=t^{2}e^{2t}
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4
Views
241
karush
karush
karush
[SOLVED] -2.2.35 Show that dy/dx=(x+3y)/(x-y) is homogeneous. and...
Replies
2
Views
199
karush
karush
H
Application of Linear differential equation in solving problems
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3
Views
2K
Country Boy
C
M
find the C
Replies
2
Views
190
Country Boy
C
karush
[SOLVED] -9.1.98 solve DE
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1
Views
171
skeeter
skeeter
karush
b.2.1.4 trig w/ integrating factor
Replies
1
Views
296
Country Boy
C
karush
[SOLVED] -b.1.2.2a IVP
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6
Views
196
Country Boy
C
karush
b.1.2.3 Find the equilibrium solution and...
Replies
2
Views
270
karush
karush
karush
b.1.3.7 Solve IVP
Replies
5
Views
273
topsquark
topsquark
karush
[SOLVED] -b.1.3.18 >values of r for de
Replies
5
Views
1K
karush
karush
karush
[SOLVED] -a.8.5.99 Solve system
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8
Views
569
karush
karush
karush
[SOLVED] -7.1.8 IVP with system of eq
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4
Views
271
karush
karush
karush
3.4.5.5 solve IVP
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2
Views
202
karush
karush
karush
[SOLVED] -a.3.2.97 second order IVP
Replies
1
Views
311
Country Boy
C
karush
[SOLVED] -1.5.7.9 find gereral solution to DE
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4
Views
286
karush
karush
karush
[SOLVED] -a.2.1.96 IVP
Replies
3
Views
258
Prove It
P
karush
[SOLVED] -1.8.17 initial value then find C
Replies
11
Views
401
karush
karush
S
Second-Order Nonlinear Differential Equation
Replies
4
Views
726
Klaas van Aarsen
Klaas van Aarsen
karush
[SOLVED] -2.4.2 interval of initial value problem
Replies
4
Views
482
Country Boy
C
karush
[SOLVED] -307.27.1
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4
Views
682
karush
karush
karush
[SOLVED] -b.1.1.2 behavior of y'-2y=-3 as t goes to infinity
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3
Views
361
Country Boy
C
karush
[SOLVED] -b.2.2.1 separate variables y'=\dfrac{x^2}{y}
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4
Views
389
Country Boy
C
M
Steady State Question Understanding
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1
Views
386
Country Boy
C
M
Natural and forced response of a differential equation
Replies
1
Views
423
Country Boy
C
M
Steady State
Replies
1
Views
559
Country Boy
C
K
Numerical Methods for system of integral equations
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0
Views
360
Konstantin
K
A
I need someone to help me solve this problem.
Replies
1
Views
339
Another
A
A
Please give me an idea for Reduction of order
Replies
3
Views
348
Country Boy
C
M
non-dimensionalisation
Replies
1
Views
372
Country Boy
C
M
Null Clines
Replies
2
Views
335
mt91
M
karush
[SOLVED] -b.2.2.32 First order homogeneous ODE
Replies
13
Views
793
Country Boy
C
karush
[SOLVED] -b.2.2.27 IVP t behavior
Replies
5
Views
563
Country Boy
C
karush
[SOLVED] -b.2.2.26 IVP min value y'=2(1+x)(1+y^2); y(0)=0
Replies
3
Views
439
karush
karush
karush
[SOLVED] -2.2.21 IVP
Replies
5
Views
501
Country Boy
C
A
Differential Equations
Replies
1
Views
898
Country Boy
C
A
I have hyperbolic PDE and I want the numerical solution using lax wendroff method
Replies
0
Views
359
aeropop15
A
Julio
Solutions of the ODEs - 2 first order linear equations
Replies
6
Views
464
Country Boy
C
karush
[SOLVED] -b.2.2.33 - Homogeneous first order ODEs, direction fields and integral curves
Replies
18
Views
1K
MarkFL
M
karush
[SOLVED] -b.2.1.11 Find the general solution y'+y=5sin{2t}
Replies
3
Views
1K
HallsofIvy
H
Julio
Solve the nonlinear system
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1
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383
Janssens
J
A
How to solve this 2nd order linear ODE
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2
Views
570
HallsofIvy
H
karush
[SOLVED] -2.2.31 First order homogeneous ODE
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8
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642
HallsofIvy
H
karush
[SOLVED] -2.2.27 - Analysis of first order IVP
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15
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811
karush
karush
karush
[SOLVED] -b.2.2.26 Solve first order IVP and determine where minimum of solution occurs
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9
Views
554
MarkFL
M
karush
[SOLVED] -2.2.25 IVP max value
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11
Views
792
karush
karush
karush
[SOLVED] -b.2.1.12 Find the general solution 2y'+y=3t^2
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6
Views
749
karush
karush
M
Numerical Methods: Second Order Runge-Kutta Scheme
Replies
1
Views
499
Prove It
P
caffeinemachine
Maximum value a function satisfying a differential equation can achieve.
Replies
1
Views
533
Klaas van Aarsen
Klaas van Aarsen
G
Laplace / inverse laplace transform
Replies
3
Views
2K
HallsofIvy
H
karush
[SOLVED] -307.28.1 Find the general solution to the system of DE
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1
Views
2K
HallsofIvy
H
A
Rescaled Coordinates in a polynomial equation.
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0
Views
940
Alan
A
R
Solution to function with power greater than 4
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1
Views
951
Cbarker1
C
karush
m30b Convert the differential equation
Replies
4
Views
1K
HallsofIvy
H
Dhamnekar Winod
Solving 1st order non-linear ODE
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4
Views
2K
HallsofIvy
H
karush
[SOLVED] -16.1 Find the general solution to the system of DE
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2
Views
1K
HallsofIvy
H
karush
[SOLVED] -7.1 transform u''+0.5u'+2u=0 into a system of first order eq
Replies
2
Views
2K
karush
karush
J
Differential equation - distance needed to achieve target speed
Replies
2
Views
1K
HallsofIvy
H
karush
[SOLVED] -a.3.2.96 Convert a 2nd order homogeneous ODE into a system of first order ODEs
Replies
8
Views
3K
HallsofIvy
H
karush
[SOLVED] -5.5 Solve the matrix equation AX=B to find x and y
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4
Views
2K
karush
karush
karush
[SOLVED] -29.1 Find a general solution to the system of DE
Replies
4
Views
1K
karush
karush
karush
[SOLVED] -m30 - 2nd order linear homogeneous ODE solve using Wronskian
Replies
12
Views
2K
HallsofIvy
H
karush
3.1.11 find the solution of the given initial value problem:
Replies
4
Views
1K
HallsofIvy
H
karush
[SOLVED] -11.2 IVP in explicit form.
Replies
7
Views
3K
HallsofIvy
H
karush
[SOLVED] -b.2.1.23 solve IVP
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2
Views
2K
karush
karush
karush
31.6 Solve the initial value problem
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2
Views
1K
karush
karush
T
Projective Methods for Stiff Differential Equations
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0
Views
746
tm2019
T
karush
pe.7 write a system in the matrix form Y'=AY+G
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2
Views
954
karush
karush
karush
7.1 x'=x+sin(t) solve de
Replies
3
Views
1K
MarkFL
M
karush
29.1 give a system of fundamental solutions
Replies
5
Views
1K
Ackbach
Ackbach
E
How to get a converging solution to a second-order PDE?
Replies
0
Views
701
enea19
E
karush
28.2 Solve the system y'={}Y
Replies
3
Views
1K
topsquark
topsquark
D
Partial Differential Equation - solve with Matlab
Replies
0
Views
748
Dmitrij00000
D
S
Solving wave equation using Fourier Transform
Replies
1
Views
827
MathProfessor
M
Asawira Emaan
Orthogonal Trajectories
Replies
4
Views
1K
Alan
A
karush
[SOLVED] -10.2 DE notation
Replies
12
Views
2K
karush
karush
A
Friedrich's problem.
Replies
3
Views
979
Alan
A
karush
[SOLVED] -b.2.1.23 Solve 3y'-2y=e^{-\pi/2}\quad y(0)=a and find the critical value a0 exactly.
Replies
1
Views
1K
Country Boy
C
karush
[SOLVED] -2.1.9 Find general solution of 2y'+y=3t
Replies
7
Views
2K
karush
karush
karush
[SOLVED] -b.1.3.19 Determine the values of r for t^2y''+4ty'+2y = 0
Replies
4
Views
1K
karush
karush
A
solving homogeneous equation
Replies
1
Views
771
GJA
G
A
Solving Homogeneous Equation
Replies
1
Views
1K
Country Boy
C
C
[SOLVED] Anti-derivatives of the periodic functions
Replies
1
Views
1K
topsquark
topsquark
C
Wave Equation Question Part 2
Replies
2
Views
1K
Country Boy
C
C
[SOLVED] Wave Equation Question Part 3
Replies
2
Views
833
Country Boy
C
C
Telegraph Equation Verification
Replies
1
Views
1K
GJA
G
C
[SOLVED] Wave Equation Question
Replies
11
Views
2K
Klaas van Aarsen
Klaas van Aarsen
Dhamnekar Winod
Euler equations having double roots as a solution
Replies
3
Views
1K
Country Boy
C
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