yeh i saw that after about 30 minutes of just staring at the problem haha
however, when you do carry j's into your laplace and get the inverse, they will still be complex right?
so technically you could have a laplace shifted by a complex value using the e^at rule, where a = some j?
thank you...
Homework Statement
Im having trouble finding ways to manipulate equations to fit something from the table
The two I'm stuck on are these
1. \frac{1}{s^{2}- 2s + 3} (\frac{1+(s^{2}+1)e^{-3\Pi S}}{(s^{2}+1)}) = Y(s)
2.\frac{1}{s^{2}- 2s + 2} (\frac{s}{s^{2}+1} + s - 2) = Y(s)...
Homework Statement
i was reading on orthogonality of Legenedre's polynomials
and this equation came up
http://www.hit.ac.il/ac/files/shk_b/Differential.Equations/Orthogonality_of_Legendre_polynomials_files/img39.gif
It's a rewritten form of Legendre's equation, but i can't see how to...
Homework Statement
I was wondering, how you would prove that the solutions work for an equation?
i know for a normal Diff eq, you just plug your solutions back into the equation
but how would i go about showing that a series solution IS a solution to a problem?
For instance, if they...
i noticed from the first equation that the left sum, was the deriv. of the right, ecxept that the 2 was in front
so technically it would look like this : y' + 2y = 0, when y = \sum_{n=0}^{\infty}{a_{n}x^{n}} = 0
so are you saying i should just solve the normal DE and i'll get the solution...
Homework Statement
Determine the an so that the equation
\sum_{n=1}^{\infty}{na_{n}x^{n-1}} + 2\sum_{n=0}^{\infty}{a_{n}x^{n}} = 0
is satisfied. Try to identify the function represented by the series
\sum_{n=0}^{\infty}{a_{n}x^{n}} = 0
Homework Equations
The Attempt...
Homework Statement
A security alarm for an office building door is modeled by the circuit [below]. The switch represents the door interlock, and v is the alarm indicator voltage. Find v(t) for t>0 for the circuit [below]. The switch has been closed for a long time at t=0-...
Homework Statement
Find the solution of
dy/dt = 1/ (e^y -t), y(1) = 0
Homework Equations
The Attempt at a Solution
i tried separating the equation, but the subtraction gets in the way
well this is what i have
y = t - 1 + C/e^t
i solved for t then i put that into the single...
ok
for part
b) Ipeak = Vpeak/ Z
but don't i need the value of frequency to calculate this?
because since the reactance of L anc C need the value, i need it here...
or can i assume that it's at resonance? Then Z= R :S
C) I read some more and i remembered that i could find the...
keep in mind that the velocities of each skater are on different axes
like ben.tien said, use that equation M1V1 + M2V2 = (M1 +M2)V and add the velocities as vectors in components. That should get you on the right path
Homework Statement
An AC generator in an LRC circuit produces a voltage V(t) = 1.414sin(wt) = 1.414sin(1000t)
The values of inductance, capacitance, and resistance are shown in the diagram. Recall the w = 2pi*f.
i made a picture of the diagram...