What is the solution for (dy)/(dx)=e^{(6x-3y)} ?

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

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(dy)/(dx)=e^{(6x-3y)}

\frac{d y}{d x} = e^{(6 x - 3 y)}

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

Solution steps

\frac{d y}{d x} = e^{(6 x - 3 y)}

Solve separable ODE:

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

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

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