Using series solutions for ordinary differential equations solve the following differential equations (keep a reasonable number of terms if you cannot find a closed form for your series solutions)...

Extracted text: Using series solutions for ordinary differential equations solve the following differential equations (keep a reasonable number of terms if you cannot find a closed form for your series solutions) When possible try to check your solutions against exact solutions or numerical solutions (this is not for a grade but a very useful exercise. Also note that you can use Wolfram Alpha or some other software)


Extracted text: b) y"-y 1, y(0) 0, y'(0) = 0 =_