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

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

y^{^{'}} + 6 y = e^{u}, y (0) = 2

\frac{d y}{d x} = - \frac{6}{2} x^{7} y^{3}

\frac{d y}{d x} = (x^{2} y + y)^{3}

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

\frac{d y}{y} + \frac{d y}{2} = d x