What is the solution for (dy)/(dx)=sqrt(8y)e^{x+2} ?

The solution for (dy)/(dx)=sqrt(8y)e^{x+2} is y=2e^{2x+4}+sqrt(2)c_{1}e^{x+2}+(c_{1}^2)/4

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(dy)/(dx)=sqrt(8y)e^{x+2}

\frac{d y}{d x} = 8 y e^{x + 2}

y = 2 e^{2 x + 4} + 2 c_{1} e^{x + 2} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d y}{d x} = 8 y e^{x + 2}

Solve separable ODE:

y = 2 e^{2 x + 4} + 2 c_{1} e^{x + 2} + \frac{c _{1}^{2}}{4}

y = 2 e^{2 x + 4} + 2 c_{1} e^{x + 2} + \frac{c _{1}^{2}}{4}

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What is the solution for (dy)/(dx)=sqrt(8y)e^{x+2} ?
The solution for (dy)/(dx)=sqrt(8y)e^{x+2} is y=2e^{2x+4}+sqrt(2)c_{1}e^{x+2}+(c_{1}^2)/4