(dy)/y =(dx)/(1+x)

Lösung

\frac{d y}{y} = \frac{d x}{1 + x}

y = e^{c_{1}} + e^{c_{1}} x

Schritte zur Lösung

\frac{d y}{y} = \frac{d x}{1 + x}

Solve separable ODE:

y = e^{c_{1}} + e^{c_{1}} x

y = e^{c_{1}} + e^{c_{1}} x

\frac{d y}{d x} y = e^{x^{2} l n (x)}

y^{^{'}} = - x y + 4 x

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

(x y^{2} + 3 y^{2}) d y - 9 y d x = 0

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