Solve the given differential equation. (The form of yp is given.)D2y - 2Dy + y = x2 + 2x + sin 2x(Let yp = Ax2 + Bx + C + E sin 2x + F cos 2x.)

A. y = c1ex + c2xex + 6x2 + 6x + 10 sin 2x +  cos 2x
B. y = c1ex + c2xex + 6x2 + 6x + 10 +  sin 2x +  cos 2x
C. y = c1ex + 6x2 + 6x + 10 -  sin 2x +  cos 2x
D. y = c1ex + c2xex + 6x2 + 6x + 10 -  cos 2x +  sin 2x

Answer: A

Mathematics

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