All the ways to solve this 2nd order ODE,
http://prntscr.com/4udffs
t^2y''-ty'-3y=t^2
y''-y'/t-3y/t^2=1

Question

All the ways to solve this 2nd order ODE, 
http://prntscr.com/4udffs
t^2y''-ty'-3y=t^2
y''-y'/t-3y/t^2=1

dan815 · Answer

@ganeshie8 @Kainui @ikram002p

dan815 · Answer

@aum

dan815 · Answer

to solve homogenous case first
y''-y'/t-3y/t^2=0

dan815 · Answer

hey aum do you know how to solve 2nd order ODEs

dan815 · Answer

@Astrophysics come here  fatty

dan815 · Answer

:) lets do a 2nd order ode i forgot em :)

dan815 · Answer

oo I realize this is in cauchy euler form

dan815 · Answer

assuming y=t^m form then
subbing into t^2y''-ty'-3y=0
i get
t^m(m^2-2m-3)=0
so m = 3 and -1
so 
Y_h = c1 t^3 +c2 t^-1

now 
Y_G= Y_h + Y_p
now to find particular solution by variation of parameters

dan815 · Answer

@Mimi_x3 @Miracrown

dan815 · Answer

@nincompoop

kainui · Answer

I guess I'm too late, but it looks like y has the dimensions of seconds squared.