dy-dx(y-1)^2=0

Lösung

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

y = - \frac{1}{x + c _{1}} + \frac{x}{x + c _{1}} + \frac{c _{1}}{x + c _{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{1}{x + c _{1}} + \frac{x}{x + c _{1}} + \frac{c _{1}}{x + c _{1}}

y = - \frac{1}{x + c _{1}} + \frac{x}{x + c _{1}} + \frac{c _{1}}{x + c _{1}}

x y^{^{'}} + y = 0

y^{^{'}} = x \cdot e^{y}

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

y^{^{'}} = t^{3} (y^{2} + 3 y + 16)

x^{^{'}} = (\frac{2}{t} - t) x