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

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

\frac{d}{d x} (e^{- 2 x} sin (x))

x \to - 1 lim (\frac{∣ x ∣}{x})

\frac{d P}{d t} = P (\frac{1}{t} - P)

x \to 2 lim (x^{2} + x)

\frac{\partial}{\partial v} (e^{u (v)} cos (v))