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" + xy'- (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 C. x² y" – xy' +y =x d. 2 y y" + 2 (v+ 3 y') y" + 2 (y')? = sin x +2 (v')? = sin x 1. [9 pts] Solve the following differential equations and briefly describe your method of solution (choose three). a.x y" + xy'- (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 C. x² y" – xy' +y =x d. 2 y y" + 2 (v+ 3 y') y" + 2 (y')? = sin x +2 (v')? = sin x

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