y^'-3xy=0

Lösung

y^{^{'}} - 3 x y = 0

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

Schritte zur Lösung

y^{'} (x) - 3 x y = 0

Solve separable ODE:

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

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

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

y^{^{'}} = 3 x^{2} (y^{2} + 1)

x y^{2} d x + (x^{2} y + 3 y) d y = 0, y (1) = 1

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

\frac{x}{y} \frac{d y}{d x} = 1