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}

\frac{\partial}{\partial y} (e^{2 x})

\frac{d}{d x} (\frac{2 x - x ^{2}}{x})

2 y^{^{''}} + 8 y^{^{'}} + 80 y = 40 cos (8 t)

y^{^{''}} + 5 y^{^{'}} + 3 y = 0

(6 x + 1) y^{2} \frac{d y}{d x} + 3 x^{2} + 2 y^{3} = 0

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