MATH 3321 Sample Questions for Exam 2 Second Order ...

9. Find the general solution of y00 +4y = 2 sin 2x. Answer: y = C1 cos 2x+C2 sin 2x− 1 2 x cos 2x. 10. Find the general solution of y00 −6y0 + 8y = 2e4x +6. Answer: y = C1 e4x + C2 e2x + xe4x + 3 4. 11. A particular solution of the nonhomogeneous differential equation y00 − 2y0 −15y = 2 cos 3x+5e5x + 2 will have the form: Answer: z = A ... ................
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