What is the solution for (dy)/(dx)=e^{3x-5y} ?

The solution for (dy)/(dx)=e^{3x-5y} is y=(ln(5/3 e^{3x}+c_{1}))/5

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(dy)/(dx)=e^{3x-5y}

\frac{d y}{d x} = e^{3 x - 5 y}

y = \frac{ln ( \frac{5}{3} e ^{3 x} + c _{1} )}{5}

Solution steps

\frac{d y}{d x} = e^{3 x - 5 y}

Solve separable ODE:

y = \frac{ln ( \frac{5}{3} e ^{3 x} + c _{1} )}{5}

y = \frac{ln ( \frac{5}{3} e ^{3 x} + c _{1} )}{5}

\frac{d y}{d x} = \frac{( 1 + 4 y ^{2} )}{e ^{x}}

\frac{d y}{d x} = - 8 x y^{2}, y (0) = 1

y^{^{'}} = \frac{2 x}{1 + 2 y}, y (2) = - 0.2

\frac{d y}{d x} = 9 x y^{2}

y^{^{'}} = \frac{2 x}{1 + 2 y}, y (2) = - 0.5

What is the solution for (dy)/(dx)=e^{3x-5y} ?
The solution for (dy)/(dx)=e^{3x-5y} is y=(ln(5/3 e^{3x}+c_{1}))/5