Homework Statement
y'' + ty' - y = 0
plugging in the known Laplace formuals i get this...
[s^2Y(s) - sy(0) - y'(0)] + [-sY'(s) - Y(s)] - Y(s) = 0
Homework Equations
y(0) = 0
y'(0) = 3
The Attempt at a Solution
simplying to a linear first order DE
-sY'(s) + (s^2-2)Y(s) = 3...
wow you're right, after looking up the formula for integration by parts I forgot that there was also an integral on the LHS. though my answer doesn't match yours, I actually got the answer i needed.
Instead of subtracting, I brought the matching integrals together on the LHS and factored...
Homework Statement
Simply find L{Sin(bt)}Homework Equations
My Professor gave us a hint "Use Integration by Parts TWICE"
The Attempt at a Solution
so i start with the usual limit as N -> infinity the integral of e^(-st)sin(bt)dt
Integrating by parts i get ( u = sin(bt) du = bcos(bt) dv =...