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

Question

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

fibonaccichick666 · Answer

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?

amistre64 · Answer

hartnn has done laplace recently but i don thtink hes online

fibonaccichick666 · Answer

t can equal zero, so I cannot divide through

amistre64 · Answer

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

amistre64 · Answer

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

fibonaccichick666 · Answer

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

fibonaccichick666 · Answer

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

amistre64 · Answer

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

dan815 · Answer

|dw:1427863323866:dw|