y^'=(xy^2)/(sqrt(1+x^2))

Lösung

y^{^{'}} = \frac{x y ^{2}}{1 + x ^{2}}

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

Schritte zur Lösung

y^{'} (x) = \frac{x y ^{2}}{1 + x ^{2}}

Solve separable ODE:

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

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

\frac{d y}{d t} + 7 y = 0

y^{^{'}} = (- 3 \cdot 1 0^{- 12}) y^{4}

f^{^{'}} (x) x = 3 f (x)

\frac{d y}{d x} = \frac{y - 3}{2 x + 1}, y (0) = 4

\frac{d x}{y} - \frac{d y}{x} = 0