What is the solution for (dy)/(dx)=sqrt(9y)*e^{x+9} ?

The solution for (dy)/(dx)=sqrt(9y)*e^{x+9} is y=(9e^{18+2x})/4+(3c_{1}e^{x+9})/2+(c_{1}^2)/4

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(dy)/(dx)=sqrt(9y)*e^{x+9}

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

y = \frac{9 e ^{18 + 2 x}}{4} + \frac{3 c _{1} e ^{x + 9}}{2} + \frac{c _{1}^{2}}{4}

Solution steps

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

Solve separable ODE:

y = \frac{9 e ^{18 + 2 x}}{4} + \frac{3 c _{1} e ^{x + 9}}{2} + \frac{c _{1}^{2}}{4}

y = \frac{9 e ^{18 + 2 x}}{4} + \frac{3 c _{1} e ^{x + 9}}{2} + \frac{c _{1}^{2}}{4}

n = 1 \sum \infty \frac{n}{n ^{3} + n ^{2}}

y^{^{''}} + 2 y^{^{'}} = x^{2} + e^{- 2 x}

f (x) = x, at x = 64.2

x \to 3 lim (6 x^{2} + 2)

\int \frac{( x + 1 )}{x ^{2} + 2 x - 4} d x

What is the solution for (dy)/(dx)=sqrt(9y)*e^{x+9} ?
The solution for (dy)/(dx)=sqrt(9y)*e^{x+9} is y=(9e^{18+2x})/4+(3c_{1}e^{x+9})/2+(c_{1}^2)/4