What is the solution for (dy)/(dx)=xe^{6x-5y} ?

The solution for (dy)/(dx)=xe^{6x-5y} is y=(ln(5/36 (6xe^{6x}-e^{6x})+c_{1}))/5

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(dy)/(dx)=xe^{6x-5y}

\frac{d y}{d x} = x e^{6 x - 5 y}

y = \frac{ln ( \frac{5}{36} ( 6 x e ^{6 x} - e ^{6 x} ) + c _{1} )}{5}

Solution steps

\frac{d y}{d x} = x e^{6 x - 5 y}

Solve separable ODE:

y = \frac{ln ( \frac{5}{36} ( 6 x e ^{6 x} - e ^{6 x} ) + c _{1} )}{5}

y = \frac{ln ( \frac{5}{36} ( 6 x e ^{6 x} - e ^{6 x} ) + c _{1} )}{5}

What is the solution for (dy)/(dx)=xe^{6x-5y} ?
The solution for (dy)/(dx)=xe^{6x-5y} is y=(ln(5/36 (6xe^{6x}-e^{6x})+c_{1}))/5