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

Lösung

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

y = sin (arcsin (x) + c_{1})

Schritte zur Lösung

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

Solve separable ODE:

y = sin (arcsin (x) + c_{1})

y = sin (arcsin (x) + c_{1})

y^{^{'}} + 2 y = - 1

\frac{d x}{d t} = 45 - \frac{x}{100}

\frac{d y}{d x} = 3 x + 5 x y^{2}

7 y y^{^{'}} = 5 x

y^{^{'}} + y = 11