What is the solution for (d^2y)/(dx^2)-2(dy)/(dx)=2e^{2x} ?

The solution for (d^2y)/(dx^2)-2(dy)/(dx)=2e^{2x} is y=c_{1}e^{2x}+c_{2}+e^{2x}x

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(d^2y)/(dx^2)-2(dy)/(dx)=2e^{2x}

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} = 2 e^{2 x}

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} = 2 e^{2 x}

Solve linear ODE:

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

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

What is the solution for (d^2y)/(dx^2)-2(dy)/(dx)=2e^{2x} ?
The solution for (d^2y)/(dx^2)-2(dy)/(dx)=2e^{2x} is y=c_{1}e^{2x}+c_{2}+e^{2x}x