What is the solution for (dy)/(dx)=2y-4xe^x ?

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

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(dy)/(dx)=2y-4xe^x

\frac{d y}{d x} = 2 y - 4 x e^{x}

y = 4 e^{x} (x + 1) + c_{1} e^{2 x}

Solution steps

\frac{d y}{d x} = 2 y - 4 x e^{x}

Solve linear ODE:

y = 4 e^{x} (x + 1) + c_{1} e^{2 x}

y = 4 e^{x} (x + 1) + c_{1} e^{2 x}

x^{2} cos (x)

\int \frac{x}{9 x - 8} d x

sin^{3} (2 x)

\frac{d}{d x} (\frac{2 x ^{2} + 6 x + 8}{x})

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