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

The solution for (dy)/(dx)=e^{9y}+e^{(4x+9y)} is y=-(ln(-9x-9/4 e^{4x}-c_{1}))/9

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(dy)/(dx)=e^{9y}+e^{(4x+9y)}

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

y = - \frac{ln ( - 9 x - \frac{9}{4} e ^{4 x} - c _{1} )}{9}

Solution steps

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

Solve separable ODE:

y = - \frac{ln ( - 9 x - \frac{9}{4} e ^{4 x} - c _{1} )}{9}

y = - \frac{ln ( - 9 x - \frac{9}{4} e ^{4 x} - c _{1} )}{9}

y^{^{'}} + 4 y = 12, y (0) = 0

\frac{d y}{d x} + y ln (x) = 3 ln (x)

\frac{d y}{d x} = \frac{y ( y + 1 )}{x + 1}

y^{^{'}} = \frac{1 + y ^{6}}{x y ^{5}}, y (1) = 1

\frac{d y}{d x} a x^{2} y = 7

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