常系数非齐次线性微分方程的算子解法（十）
D42D21yx31解：y4x23）D2D2112D2x2346x21原方程的通解为：exC1C2xC3C4xexx21y
D44D36D24D1yx1ex1解：yx1ex4D11ex41xD1514exxx1202447原方程的通解为：exC1C2xC3x2C4x3yx4x524120
2
D41y5si
2x1解：y45si
2xD115si
2x4（2i）11si
2x17原方程的通解为：48ye
49
2x2
C1si

22xC2cosxe22
2x2
C3si

225xC4cosxsi
2x2217
D416yx2ex1解：y4x2exD1611x2ex1615原方程的通解为：yC1si
2xC2cos2xC3e2xC4e2xx21xe1615
f50
D41yx31x3D1x3
42x222xC2cosxe222x2
解：y
原方程的通解为：yeC1si
C3si
22xC4cosxx322
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