Question: Solve the following differential equations or initial-value problems using the Method of Undetermined Coefficients.(a)y'+6y=9t2-1(b)12y'+3y=2cos(4t)(c)dydx-3y=6+2e-2x,y(0)=-2

Solve the following differential equations or initial-value problems using the Method of Undetermined Coefficients.(a)y'+6y=9t2-1(b)12y'+3y=2cos(4t)(c)dydx-3y=6+2e-2x,y(0)=-2

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