Question: Solve the following problems. Show all your work for full or partial credit. Find the solution of the following differential equations Solve the following problems.

Solve the following problems. Show all your work for full or partial credit. Find the solution of the following differential equations

Solve the following problems. Show all your work for full or partial credit. Find the solution of the following differential equations. (1) (x2y2 + 2y2 -x2 - 2)dr + (xy - 3y + x - 3)dy = 0. (2) xy'+ (1+ x)y = xe * sin 3x with y(0) = 1. (3) (y2 cosx - 3.ray - 2x)dr + (2y sinx - x3 + Iny)dy = 0 with y(0) = e2. y (1 + x)25 ( 4) y + 7 with y(1) = 1. 1+x 2

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