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

Lösung

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

y = - \frac{1}{W ( - \frac{1}{e ^{\frac{c _{1} x - 1}{x}} x} )}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{1}{W ( - \frac{1}{e ^{\frac{c _{1} x - 1}{x}} x} )}

y = - \frac{1}{W ( - \frac{1}{e ^{\frac{c _{1} x - 1}{x}} x} )}

y^{^{'}} = 11 - y

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

x^{^{'}} = t (1 - t) x

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

\frac{d x}{d t} + \frac{x}{50} = 4