What is the solution for (dy)/(dx)=e^{5x+3y} ?

The solution for (dy)/(dx)=e^{5x+3y} is y=-(ln(-3/5 e^{5x}-c_{1}))/3

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(dy)/(dx)=e^{5x+3y}

\frac{d y}{d x} = e^{5 x + 3 y}

y = - \frac{ln ( - \frac{3}{5} e ^{5 x} - c _{1} )}{3}

Solution steps

\frac{d y}{d x} = e^{5 x + 3 y}

Solve separable ODE:

y = - \frac{ln ( - \frac{3}{5} e ^{5 x} - c _{1} )}{3}

y = - \frac{ln ( - \frac{3}{5} e ^{5 x} - c _{1} )}{3}

y^{^{''}} + 4 y = 3 tan (2 x)

\int sin (2 x - 5) d x

\int_{0}^{2 π} 7 x^{2} sin (\frac{1}{4} x) d x

\frac{d y}{d x} = \frac{( y - x )}{x}

n = 2 \sum \infty - \frac{1}{4 ^{n}}

What is the solution for (dy)/(dx)=e^{5x+3y} ?
The solution for (dy)/(dx)=e^{5x+3y} is y=-(ln(-3/5 e^{5x}-c_{1}))/3