What is Particular solution: Definition and 104 Discussions

In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and the derivatives of those functions. The term ordinary is used in contrast with the term partial differential equation which may be with respect to more than one independent variable.

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  1. G

    Homogeneous and particular solution

    hi, I have this ODE and I need to obtain the general and the particular solution, this is the ODE Vz''+1/r*Vz'= k where k is a constant thanks
  2. T

    What should be the particular solution?

    Hi all! In this differentail equation, what particular should I try? Is it correct to try "[Asinx + Bcosx + C] exp(-2x)"?
  3. C

    How to get a particular solution.

    I have a "Solve the initial value problem" It is: y'' + y = 2cosx - 3sinx I know how to do everything except for get yp. I know it has to be something so when i substitute yp into the left hand side of the equation, i get the right hand side, 2cosx - 3sinx. By this definition i would...
  4. I

    Solving Exponential Function: (0,4) & (5,1/2)

    Here is the problem... Find the exponential function y=Ce^{kt} that passes through the points (0,4) and (5,1/2). Just by looking at the problem, I know... y=4e^{\frac{-3x \ln{2}}{5}} ...works, but how do you actually work out the problem? I've done it before given a point and the...
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