dx-3xydy=2ydy

Lösung

d x - 3 x y d y = 2 y d y

y = \frac{2 ln ( 3 x + 2 ) + c _{1}}{3}, y = - \frac{2 ln ( 3 x + 2 ) + c _{1}}{3}

Schritte zur Lösung

d x - 3 x y d y = 2 y d y

Solve separable ODE:

y = \frac{2 ln ( 3 x + 2 ) + c _{1}}{3}, y = - \frac{2 ln ( 3 x + 2 ) + c _{1}}{3}

y = \frac{2 ln ( 3 x + 2 ) + c _{1}}{3}, y = - \frac{2 ln ( 3 x + 2 ) + c _{1}}{3}

y^{^{'}} = (4 x + 9) (2 y + 5)

\frac{d y}{d x} + 2 x = 2 x

y^{^{'}} = \frac{( x ^{2} y ^{2} )}{8} + y^{2}

\frac{d y}{d x} 6 x^{3} y + 2 y = 0

y^{^{'}} = 3 - 5 y