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please solve with details and clear writing Q: Solve the following differential equation: 2dt3d3ydt2d2y+3y=1+sin2twith:y(0)=0=y(0)=y(0)=0 a) Find the roots of above equation. b) Find the general

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Q: Solve the following differential equation: 2dt3d3ydt2d2y+3y=1+sin2twith:y(0)=0=y(0)=y(0)=0 a) Find the roots of above equation. b) Find the general solution. c) Use Euler's identity (for imaginary parts). d) Find () and y(t) Laplace inverse

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