What is the solution for (dy)/(dx)=e^{2x+3y} ?

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

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(dy)/(dx)=e^{2x+3y}

\frac{d y}{d x} = e^{2 x + 3 y}

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

Solution steps

\frac{d y}{d x} = e^{2 x + 3 y}

Solve separable ODE:

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

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

\frac{\partial}{\partial x} (4 x y - 2 x^{2} y)

\int x e^{- \frac{1}{10} x^{2}} d x

\frac{d ^{3}}{d x ^{3}} ((1 + x)^{3})

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