(e^{2x}+1)(dy)/(dx)=y

Lösung

(e^{2 x} + 1) \frac{d y}{d x} = y

y = \frac{e ^{x + c_{1}}}{e ^{2 x} + 1}

Schritte zur Lösung

(e^{2 x} + 1) \frac{d y}{d x} = y

Solve separable ODE:

y = \frac{e ^{x + c_{1}}}{e ^{2 x} + 1}

y = \frac{e ^{x + c_{1}}}{e ^{2 x} + 1}

y^{^{'}} = e^{3 x} y^{2}

(x^{2} - 1) y^{^{'}} + x y (1 - y) = 0

\frac{d x}{d t} = e^{x} t cos (t)

\frac{d y}{d x} + 9 x^{2} y = 27 x^{2}

\frac{d x}{d t} = 18 - \frac{18}{100} x