What is the solution for (d^2y)/(dx^2)-3(dy)/(dx)+2y=e^{2x} ?

The solution for (d^2y)/(dx^2)-3(dy)/(dx)+2y=e^{2x} is y=c_{1}e^{2x}+c_{2}e^x+e^{2x}x

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(d^2y)/(dx^2)-3(dy)/(dx)+2y=e^{2x}

\frac{d ^{2} y}{d x ^{2}} - 3 \frac{d y}{d x} + 2 y = e^{2 x}

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} - 3 \frac{d y}{d x} + 2 y = e^{2 x}

Solve linear ODE:

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

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

\frac{d}{d x} (lo g_{x} (3))

(x^{2} - 4) \frac{d y}{d x} + 2 x y = 3 x^{2}

\frac{1}{( s ^{2} + 4 ) ^{2}}

\frac{d}{d t} (5 t^{- 3})

\int_{- 1}^{1} e^{y} - y^{2} + 2 d y

What is the solution for (d^2y)/(dx^2)-3(dy)/(dx)+2y=e^{2x} ?
The solution for (d^2y)/(dx^2)-3(dy)/(dx)+2y=e^{2x} is y=c_{1}e^{2x}+c_{2}e^x+e^{2x}x