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}

\int 4 tan^{3} (x) sec^{2} (x) d x

\frac{d}{d x} ((x^{2} + 1) arctan (x))

\int \frac{1}{x ^{2}} - \frac{4}{x ^{3}} d x

x \to 0 - lim (\frac{1}{x ^{3}})

x \to 0 - lim (x^{x})

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