I am studying heat equations and I am trying to categorize the questions and their general solution as well as techniques to solve them. I reached to this excercise:
for half line $0<x<\infty$
I solved the problem to some point but I am stuck with this integral. I do not know how to solve this:
$\int_{-\infty}^{\infty} e^{\frac{-(x-y)^2}{4t}}sin(2y) \,dy$ I would appreciate any help with this


Separation of variables might make you guess: $$ u(x,t)= e^{-4t}\sin(2x) $$


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.