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) a) y 1 xy, y(0) 0