dx-13xydy=6ydy

Lösung

d x - 13 x y d y = 6 y d y

y = \frac{2 ln ( 13 x + 6 ) + c _{1}}{13}, y = - \frac{2 ln ( 13 x + 6 ) + c _{1}}{13}

Schritte zur Lösung

d x - 13 x y d y = 6 y d y

Solve separable ODE:

y = \frac{2 ln ( 13 x + 6 ) + c _{1}}{13}, y = - \frac{2 ln ( 13 x + 6 ) + c _{1}}{13}

y = \frac{2 ln ( 13 x + 6 ) + c _{1}}{13}, y = - \frac{2 ln ( 13 x + 6 ) + c _{1}}{13}

\frac{d y}{d x} = \frac{- y}{x ^{2}}

y 1 - x^{2} y^{^{'}} + 1 - y^{2} = 0

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

x^{^{'}} = - 100 x

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