Question

Differential Equations home work problem. Solve the initial value problem of 2y''-3y'=0 if y(-2)=3 , y'(-2)=0

Answer 1

I think I've got the answer I just want to check what I've got with some one else that knows how to do this

Answer 2

y(x)=3

Answer 3

That's what i was getting too I just thought that was a little weird iunno lol. Just making sure i wasn't doin it wrong.

Answer 4

y(x)=2/3 c_1 exp(3x/2) + c_2

Answer 5

Could you explain how you got that general solution? I end up with just c1+c2e^(3/2)t

Answer 6

you can choose coefficients suitably to cancel. 2/3 c_1 & c_1 are equivalent

Answer 7

So you basically do that so that it's easier when you take derivatives?