What is the solution for (dy)/(dx)=sqrt(3y)e^{x+8} ?

The solution for (dy)/(dx)=sqrt(3y)e^{x+8} is y=(3e^{16+2x})/4+(sqrt(3)c_{1}e^{x+8})/2+(c_{1}^2)/4

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(dy)/(dx)=sqrt(3y)e^{x+8}

\frac{d y}{d x} = 3 y e^{x + 8}

y = \frac{3 e ^{16 + 2 x}}{4} + \frac{3 c _{1} e ^{x + 8}}{2} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d y}{d x} = 3 y e^{x + 8}

Solve separable ODE:

y = \frac{3 e ^{16 + 2 x}}{4} + \frac{3 c _{1} e ^{x + 8}}{2} + \frac{c _{1}^{2}}{4}

y = \frac{3 e ^{16 + 2 x}}{4} + \frac{3 c _{1} e ^{x + 8}}{2} + \frac{c _{1}^{2}}{4}

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x \to \infty lim (x^{2} + 2 x)

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What is the solution for (dy)/(dx)=sqrt(3y)e^{x+8} ?
The solution for (dy)/(dx)=sqrt(3y)e^{x+8} is y=(3e^{16+2x})/4+(sqrt(3)c_{1}e^{x+8})/2+(c_{1}^2)/4