1. [9 pts] Solve the following differential equations and briefly describe your method of solution (choose...

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1. [9 pts] Solve the following differential equations and briefly describe your method of solution (choose three). a.x y" + x y' - (1–a² x) y = 0 subject to y(0) = 0, y'(0) = B b. y" +4 y = x sin 2x subject to y(0) = y'(0) = 0 %3D C. x² y" – xy' +y =x d. 2 y y" + 2 (v+ 3 y') y" + 2 (v')² = sin x 1. [9 pts] Solve the following differential equations and briefly describe your method of solution (choose three). a.x y" + x y' - (1–a² x) y = 0 subject to y(0) = 0, y'(0) = B b. y" +4 y = x sin 2x subject to y(0) = y'(0) = 0 %3D C. x² y" – xy' +y =x d. 2 y y" + 2 (v+ 3 y') y" + 2 (v')² = sin x