Question

Use Laplace transforms to find a nontrivial solution to

tx''+(3t−4)x'+3x=0, x(0)=0

Answer 1

it also states to Require that x(1)=e^(−3) to find any arbitrary constant in your solution.

Answer 2

@Tomas.A

Answer 3

@Spacelimbus I think I almost got it

Answer 4

as of now I got (s+3)X'(s)+6X(s)=0

Answer 5

now we're supposed to X'(s)/X(s)=(s+3)/6

Answer 6

no wait it's -3/(s+3)

Answer 7

no i think -6/(s+3)

Answer 8

never mind! i solved it! woooo