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

Lösung

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

y = 3 \frac{- e ^{- 3 x^{2} - c_{1}} + 1}{2}

Schritte zur Lösung

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

Solve separable ODE:

y = 3 \frac{- e ^{- 3 x^{2} - c_{1}} + 1}{2}

y = 3 \frac{- e ^{- 3 x^{2} - c_{1}} + 1}{2}

d er i v a t i v e y = (t \cdot sin (t))^{2} + t \cdot sin (t)

s im pl i f y sec^{2} (2 x) - tan^{2} (2 x)

\frac{\partial}{\partial x} (- 4 e^{- x - y})

3 \frac{d y}{d x} + 12 y = 4

x \to 3 lim (\frac{x}{x - 2})