xy(dy)/(dx)=1-x^2

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

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

\frac{d y}{d x} = - \frac{7}{8} x^{3} y^{4}

y^{^{'}} + \frac{1}{50} y = 0.2

\frac{d y}{d x} = - \frac{7}{3} x^{5} y^{6}

\frac{d y}{d x} = - k y