I am a meteorologist with Bachelor's Degrees in both Meteorology and Mathematics. I took an intro PDE course in college, but want to learn more. Can anyone suggest a book that would be a good book after only having an intro course?
Thanks.
I'm out of college and am brushing up on Laplace Transforms. I have a problem I've solved, but I believe the solution I got is wrong and can't find my error.
The problem is 2x''-x'=t*sin(t) x(0)=5,x'(0)=3
My solution...
Take the Laplace Transform
2(s^2x-5s-3)-(sx-5)=2s/(s^2+1)^2...
I am reviewing some material on Laplace Transforms, specifically in the context of solving PDEs, and have a question.
Suppose I have an Inverse Laplace Transform of the form u(s,t)=e^((as^2+bs)t) where a,b<0. How can I invert this with respect to s, giving a function u(x,t)? Would the inverse...