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

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

y^{^{'}} csc (t) = \frac{- y ^{13}}{12}

y^{^{'}} = (a - b) y (1 - (\frac{y}{k}))

\frac{d p}{d x} = 0.02 (3000 - p)

x^{2} y^{^{'}} - y^{2} = 0

\frac{d x}{d t} = r (1 - \frac{x}{k})