xydx-dy=0

Lösung

x y d x - d y = 0

y = e^{\frac{x ^{2}}{2} + c_{1}}

Schritte zur Lösung

x y d x - d y = 0

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} + c_{1}}

y = e^{\frac{x ^{2}}{2} + c_{1}}

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

y^{^{'}} = (2 - y) t

(x - x^{2}) y^{^{'}} = 2 y, y (2) = 4

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

y^{^{'}} = 9 \cdot t \cdot e^{- y}, y (0) = 3