Question: Please answer neatly and explain steps 1. (10 points) Find the general solution on (0, co). x2y + 6xy' + 6y = 4e2x 2. (20

Please answer neatly and explain steps

1. (10 points) Find the general solution on (0, co). x2y" + 6xy' + 6y = 4e2x 2. (20 points) Find two power series solutions of the following ODE about the ordinary point x = 0. Write the first 3 nonzero terms in each series solution. (2+x2 )y" - xy' + 4y = 0

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