y^'-((x^2-2))/x y=0

Lösung

y^{^{'}} - \frac{( x ^{2} - 2 )}{x} y = 0

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

Schritte zur Lösung

y^{'} (x) - \frac{( x ^{2} - 2 )}{x} y = 0

Solve separable ODE:

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

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

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

y^{^{'}} = \frac{t}{sin ( y )}

y^{^{'}} + \frac{y}{3} = 3, y (- 1) = 0

y^{^{'}} = y^{2} e^{- t}, y (0) = 0.5

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