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

Answer 1

@ganeshie8 @Kainui @ikram002p

Answer 2

@aum

Answer 3

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

Answer 4

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

Answer 5

@Astrophysics come here fatty

Answer 6

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

Answer 7

oo I realize this is in cauchy euler form

Answer 8

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

Answer 9

@Mimi_x3 @Miracrown

Answer 10

@nincompoop

Answer 11

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