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

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

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

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

y = 2 e^{2 x} (x - 1) + c_{1} e^{x}

Solution steps

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

Solve linear ODE:

y = 2 e^{2 x} (x - 1) + c_{1} e^{x}

y = 2 e^{2 x} (x - 1) + c_{1} e^{x}

\int \frac{3 x ^{3} - 4 x - 2}{x ^{3}} d x

\frac{( x + 5 )}{( x ^{2} + 5 x + 6 )}

y^{^{''}} - 2 y^{^{'}} - 3 y = - 9 t e - t

\frac{\partial}{\partial y} (x^{3} + x y^{2})

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