What is the solution for (dy)/(dx)=sqrt(9ye^{x+4)} ?

The solution for (dy)/(dx)=sqrt(9ye^{x+4)} is y=9e^{x+4}+3c_{1}e^{1/2 x+2}+(c_{1}^2)/4

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(dy)/(dx)=sqrt(9ye^{x+4)}

\frac{d y}{d x} = 9 y e^{x + 4}

y = 9 e^{x + 4} + 3 c_{1} e^{\frac{1}{2} x + 2} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d y}{d x} = 9 y e^{x + 4}

Solve separable ODE:

y = 9 e^{x + 4} + 3 c_{1} e^{\frac{1}{2} x + 2} + \frac{c _{1}^{2}}{4}

y = 9 e^{x + 4} + 3 c_{1} e^{\frac{1}{2} x + 2} + \frac{c _{1}^{2}}{4}

What is the solution for (dy)/(dx)=sqrt(9ye^{x+4)} ?
The solution for (dy)/(dx)=sqrt(9ye^{x+4)} is y=9e^{x+4}+3c_{1}e^{1/2 x+2}+(c_{1}^2)/4