What is the solution for (dy)/(dx)=sqrt(8y)e^{x+10} ?

The solution for (dy)/(dx)=sqrt(8y)e^{x+10} is y=2e^{2x+20}+sqrt(2)c_{1}e^{x+10}+(c_{1}^2)/4

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(dy)/(dx)=sqrt(8y)e^{x+10}

\frac{d y}{d x} = 8 y e^{x + 10}

y = 2 e^{2 x + 20} + 2 c_{1} e^{x + 10} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d y}{d x} = 8 y e^{x + 10}

Solve separable ODE:

y = 2 e^{2 x + 20} + 2 c_{1} e^{x + 10} + \frac{c _{1}^{2}}{4}

y = 2 e^{2 x + 20} + 2 c_{1} e^{x + 10} + \frac{c _{1}^{2}}{4}

\int 4 t d t

\frac{\partial}{\partial x} (\frac{2 x y ^{2}}{x ^{2} + y ^{4}})

\int \frac{7 x + 4}{x ^{3} + 4 x ^{2}} d x

y^{^{'}} + 3 (tan (3 x)) y = 7 cos (3 x)

What is the solution for (dy)/(dx)=sqrt(8y)e^{x+10} ?
The solution for (dy)/(dx)=sqrt(8y)e^{x+10} is y=2e^{2x+20}+sqrt(2)c_{1}e^{x+10}+(c_{1}^2)/4