Finally got it. Took me hours to work through that but I just couldn't see a solution until you gave me a push. Cheers
Solve for y then solve using partial fractions before being able to invert
Final answer
F(t) = 1/5*e^2t - 1/5cos(t) + 3/5sin(t)
Thanks again!
Homework Statement
By taking the Laplace transform and using the convolution theorem, obtain the solution of the integral equationHomework Equations
f(t) = sin t + ∫e^(t-u)*f(u) du
integral is from 0 to tThe Attempt at a Solution
I used the following site as a reference for how to construct the...
Hi,
I have the equation
y' = y^2 + x^2 and am asked to linearise the equation with the appropriate substitution and then solve the resulting 2nd order linear equation.
My issue is I am unsure what to substitute in for y. I can't seem to find a choice for y which the differential will be a...