Recent content by cyturk

Anyone willing to help me out start this problem atleast?

I will be honest and say I was following a solution from a book problem, this is a nonbook problem assigned and I am really stuck on it. So I may have all my steps incorrect. Okay, if r^3+1=0 does have three solutions, k1,k2,k3, is it possible to solve them? Because I feel like that would be...

Homework Statement Find the general solution to y'''+y=0 Homework Equations The Attempt at a Solution y''+y=0 r^3+1=0 r^3=-1 r=(-1)^(1/3) --------------------- -1=-1+0i -1=cos(pi)+isin(pi)=e^(i*pi) -1=cos(pi+2xpi)+isin(pi+2xpi)=e^i(pi+2xpi) --------------------------...

Thanks for everyone's help! I got a solution, although it kinda looks weird, but it makes sense to me now! :)

Thanks for your help! I have been trying to figure out Variation of Parameters and I can't seem to find it on Khan Academy. Any chance there are any videos or resources you can suggest?

Thanks for everyone else and this is what I ended up doing. It was the correct way of solving the problem even though it was a little bit of a hassle! :)

Homework Statement Find the general solution for a nonhomogenous equation. y''+4y=3csc2tHomework Equations The Attempt at a Solution I simplified the equation to... y''+4y=(3)/(sin(2t)) Then I guessed... y=Asint+Bcost y'=Acost-Bsint y''=-Asint-BcostThen I got...

I am trying to solve an IVP problem and I seem to be stuck on it because I am getting an integration that seems very complicated and I think I messed up on it, I have my work so far below. Homework Statement Find the solution to the IVP ty^'+7y=2t^2 e^2t, y(1)=7 Is this equation...