y^'=-3xy

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

y = \frac{1}{2 y ^{^{'}} ( x ) ^{2}}

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

y^{^{'}} - 6 y + 11 y^{^{'}} - 6 y = 0

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

y^{^{'}} = \frac{1}{e ^{y} + 2}