What is the solution for (dy)/(dx)=e^{2x-3y} ?

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

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(dy)/(dx)=e^{2x-3y}

\frac{d y}{d x} = e^{2 x - 3 y}

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

Solution steps

\frac{d y}{d x} = e^{2 x - 3 y}

Solve separable ODE:

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

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

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