(dy)/(dx)=(4x)/(y-1)

Lösung

\frac{d y}{d x} = \frac{4 x}{y - 1}

y = 1 + 2 (2 x^{2} + c_{1}) + 1, y = 1 - 2 (2 x^{2} + c_{1}) + 1

Schritte zur Lösung

\frac{d y}{d x} = \frac{4 x}{y - 1}

Solve separable ODE:

y = 1 + 2 (2 x^{2} + c_{1}) + 1, y = 1 - 2 (2 x^{2} + c_{1}) + 1

y = 1 + 2 (2 x^{2} + c_{1}) + 1, y = 1 - 2 (2 x^{2} + c_{1}) + 1

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

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

y^{^{'}} = - (1 - y) (2 - y)

y^{^{'}} = - \frac{1}{3} y^{2}

\frac{d y}{d x} = 60 y x^{9}