Question

Solve ty"+y'+ty=0 y(0)=1, y'(0)=0. Also verify your answer.

Answer 1

So, my issue, I need to figure out how to take the laplace transform of ty" and ty, is it just a convolution integral? Or am a misssing something easy?

Answer 2

hartnn has done laplace recently but i don thtink hes online

Answer 3

t can equal zero, so I cannot divide through

Answer 4

use the definintion, what is the L(ty) ?

Answer 5

i dont know what a convolution integral is .. beyond my ken so i cant comment on that

Answer 6

That's the issue.... I don't know. L(t)=1/s^2, and L(y) is just L(y)

Answer 7

But I don't know what to do when they aare multiplied together

Answer 8

whatis the definintion of the Laplace, what is its integration? f e^(-st) right?