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

Question

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

anonymous · Answer

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

anonymous · Answer

y(x)=3

anonymous · Answer

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.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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