ODE: Verify that y=_/t, is a solution to 2t^2y'' + 3ty'- y =0

[Brightoo82]

Verify that y=_/t, is a solution to 2t^2y'' + 3ty'- y =0

 

[Deleted member 4993]

Verify that y=_/t, is a solution to 2t^2y'' + 3ty'- y =0

I am assuming you mean:

Verify that y=\(\displaystyle \displaystyle{\sqrt{t}}\), is a solution to 2t²y'' + 3ty'- y = 0

If that is correct then:

y' = ?

y" = ??

Put those back into the ODE - what do you get?