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

Answer: z = A cos 3x+B sin 3x+C xe5x +D. 12. A particular solution of the nonhomogeneous differential equation y00 −8y0 + 16y = e2x sin 4x+ 2e4x +5x will have the form: Answer: Ae2x cos 4x+ Be2x sin 4x+C x2 e4x +Dx+ E. Higher Order Linear Equations: Section 3.7 1. The general solution of y000 −4y00+y0 +6y = 0 is: (Hint: 7e2x is a root of ... ................
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