What is the solution for (dy)/(dx)=e^{9x-6y} ?

The solution for (dy)/(dx)=e^{9x-6y} is y=(ln(2/3 e^{9x}+c_{1}))/6

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(dy)/(dx)=e^{9x-6y}

\frac{d y}{d x} = e^{9 x - 6 y}

y = \frac{ln ( \frac{2}{3} e ^{9 x} + c _{1} )}{6}

Solution steps

\frac{d y}{d x} = e^{9 x - 6 y}

Solve separable ODE:

y = \frac{ln ( \frac{2}{3} e ^{9 x} + c _{1} )}{6}

y = \frac{ln ( \frac{2}{3} e ^{9 x} + c _{1} )}{6}

\frac{d}{d x} (\frac{ln ( x )}{x + 1})

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\int \frac{4 x - 11}{( 2 x - 1 ) ( x + 4 )} d x

\frac{d}{d x} (6 x^{2} + 5 x - 6)

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What is the solution for (dy)/(dx)=e^{9x-6y} ?
The solution for (dy)/(dx)=e^{9x-6y} is y=(ln(2/3 e^{9x}+c_{1}))/6