(3dy)/(2dx)+(4x+2xy^2)/(2y+x^2y)=0

Lösung

\frac{3 d y}{2 d x} + \frac{4 x + 2 x y ^{2}}{2 y + x ^{2} y} = 0

y = e^{\frac{- 4 l n ( x ^{2} + 2 ) + c _{1}}{3}} - 2, y = - e^{\frac{- 4 l n ( x ^{2} + 2 ) + c _{1}}{3}} - 2

Schritte zur Lösung

\frac{3 d y}{2 d x} + \frac{4 x + 2 x y ^{2}}{2 y + x ^{2} y} = 0

Solve separable ODE:

y = e^{\frac{- 4 l n ( x ^{2} + 2 ) + c _{1}}{3}} - 2, y = - e^{\frac{- 4 l n ( x ^{2} + 2 ) + c _{1}}{3}} - 2

y = e^{\frac{- 4 l n ( x ^{2} + 2 ) + c _{1}}{3}} - 2, y = - e^{\frac{- 4 l n ( x ^{2} + 2 ) + c _{1}}{3}} - 2

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

y^{^{'}} = \frac{x}{3 - y}, y (2) = 0

\frac{d y}{d x} y = x^{l n (x)}

x^{^{'}} = a x

y^{^{'}} = \frac{- x}{y}