What is the solution for y^{''}-7y^'+10y=24e^x ?

The solution for y^{''}-7y^'+10y=24e^x is y=c_{1}e^{5x}+c_{2}e^{2x}+6e^x

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y^{''}-7y^'+10y=24e^x

y^{^{''}} - 7 y^{^{'}} + 10 y = 24 e^{x}

y = c_{1} e^{5 x} + c_{2} e^{2 x} + 6 e^{x}

Solution steps

y^{''} (x) - 7 y^{'} (x) + 10 y = 24 e^{x}

Solve linear ODE:

y = c_{1} e^{5 x} + c_{2} e^{2 x} + 6 e^{x}

y = c_{1} e^{5 x} + c_{2} e^{2 x} + 6 e^{x}

What is the solution for y^{''}-7y^'+10y=24e^x ?
The solution for y^{''}-7y^'+10y=24e^x is y=c_{1}e^{5x}+c_{2}e^{2x}+6e^x