What is the solution for (dy)/(dx)=(e^{4x+3y}) ?

The solution for (dy)/(dx)=(e^{4x+3y}) is y=-(ln(-3/4 e^{4x}-c_{1}))/3

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(dy)/(dx)=(e^{4x+3y})

\frac{d y}{d x} = (e^{4 x + 3 y})

y = - \frac{ln ( - \frac{3}{4} e ^{4 x} - c _{1} )}{3}

Solution steps

\frac{d y}{d x} = (e^{4 x + 3 y})

Solve separable ODE:

y = - \frac{ln ( - \frac{3}{4} e ^{4 x} - c _{1} )}{3}

y = - \frac{ln ( - \frac{3}{4} e ^{4 x} - c _{1} )}{3}

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What is the solution for (dy)/(dx)=(e^{4x+3y}) ?
The solution for (dy)/(dx)=(e^{4x+3y}) is y=-(ln(-3/4 e^{4x}-c_{1}))/3