What is the solution for (dy)/(dx)=sqrt(4y)e^{x+10} ?

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

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(dy)/(dx)=sqrt(4y)e^{x+10}

\frac{d y}{d x} = 4 y e^{x + 10}

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

Solution steps

\frac{d y}{d x} = 4 y e^{x + 10}

Solve separable ODE:

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

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

\frac{d}{d x} (\frac{2 x + 2 x ^{\frac{1}{2}}}{6 + x ^{\frac{3}{2}}})

\int x^{3} cos (5 x) d x

\int 20 x^{9} d x

f (x) = 4 x - 1, at x = 16

y = 3 x, y = x^{2} - 4

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