What is the solution for (dy)/(dx)=e^{3y+10x} ?

The solution for (dy)/(dx)=e^{3y+10x} is y=-(ln(-3/10 e^{10x}-c_{1}))/3

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(dy)/(dx)=e^{3y+10x}

\frac{d y}{d x} = e^{3 y + 10 x}

y = - \frac{ln ( - \frac{3}{10} e ^{10 x} - c _{1} )}{3}

Solution steps

\frac{d y}{d x} = e^{3 y + 10 x}

Solve separable ODE:

y = - \frac{ln ( - \frac{3}{10} e ^{10 x} - c _{1} )}{3}

y = - \frac{ln ( - \frac{3}{10} e ^{10 x} - c _{1} )}{3}

What is the solution for (dy)/(dx)=e^{3y+10x} ?
The solution for (dy)/(dx)=e^{3y+10x} is y=-(ln(-3/10 e^{10x}-c_{1}))/3