- #1
becca4
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Homework Statement
Find solution for y'' + y' -2y = 2x with initial values of y(0) = 0, y'(0) = 1
Homework Equations
I have found yc = c1*exp(-2x) + c2*exp(x), but finding yp is what I'm having trouble with... AND THEN I'm not so sure how to go about the initial value.
The Attempt at a Solution
Ok, so my "reasonable assumption" :
yp = Ax
y'p = A
y''p= 0
When I plug into equation, I get:
0 + A -2(Ax) = 2x... and that's where I'm stuck.
Any insights?