(dy)/(dx)+4/(x^2-1)y=0

Lösung

\frac{d y}{d x} + \frac{4}{x ^{2} - 1} y = 0

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

Schritte zur Lösung

\frac{d y}{d x} + \frac{4}{x ^{2} - 1} y = 0

Solve separable ODE:

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

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

3 (1 + x^{2}) \frac{d y}{d x} = 2 y x (y^{3} - 1)

\frac{d y}{d t} = \frac{k}{y}

(x + 1) y = x y^{^{'}}

\frac{d P}{d t} = P - 10

\frac{1}{y ^{^{'}}} = \frac{2 y}{x}