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

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