What is the solution for y^{''}-y^'-2y=7x+4 ?

The solution for y^{''}-y^'-2y=7x+4 is y=c_{1}e^{2x}+c_{2}e^{-x}-(7x)/2-1/4

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y^{''}-y^'-2y=7x+4

y^{^{''}} - y^{^{'}} - 2 y = 7 x + 4

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{7 x}{2} - \frac{1}{4}

Solution steps

y^{''} (x) - y^{'} (x) - 2 y = 7 x + 4

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{7 x}{2} - \frac{1}{4}

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{7 x}{2} - \frac{1}{4}

What is the solution for y^{''}-y^'-2y=7x+4 ?
The solution for y^{''}-y^'-2y=7x+4 is y=c_{1}e^{2x}+c_{2}e^{-x}-(7x)/2-1/4