(x^2+2)(dy)/(dx)+y+2=0

Lösung

(x^{2} + 2) \frac{d y}{d x} + y + 2 = 0

y = e^{- \frac{a r c t a n ( \frac{x}{2} )}{2} - c_{1}} - 2

Schritte zur Lösung

(x^{2} + 2) \frac{d y}{d x} + y + 2 = 0

Solve separable ODE:

y = e^{- \frac{a r c t a n ( \frac{x}{2} )}{2} - c_{1}} - 2

y = e^{- \frac{a r c t a n ( \frac{x}{2} )}{2} - c_{1}} - 2

x y + y^{^{'}} = 0

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

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

f^{^{'}} (x) = 5 f (x)

y^{^{'}} - y = 2, cos (5 t) y (0) = 0