(dy)/(dx)=(3x)/(1-y)

Lösung

\frac{d y}{d x} = \frac{3 x}{1 - y}

y = 1 - - 3 x^{2} + 1 - c_{1}, y = - 3 x^{2} + 1 - c_{1} + 1

Schritte zur Lösung

\frac{d y}{d x} = \frac{3 x}{1 - y}

Solve separable ODE:

y = 1 - - 3 x^{2} + 1 - c_{1}, y = - 3 x^{2} + 1 - c_{1} + 1

y = 1 - - 3 x^{2} + 1 - c_{1}, y = - 3 x^{2} + 1 - c_{1} + 1

y^{^{'}} = \frac{3 x ^{2}}{y ^{2}}

cot (x) d x + cos (y) d y = 0

u^{^{'}} - \frac{2}{x} H (x) = - \frac{2}{x}

10 x^{2} y + 2 x^{3} y^{^{'}} - 16 y = 0, y (1) = 1

y \cdot y^{^{'}} = 3