dx-11xydy=2ydy

Lösung

d x - 11 x y d y = 2 y d y

y = \frac{2 ln ( 11 x + 2 ) + c _{1}}{11}, y = - \frac{2 ln ( 11 x + 2 ) + c _{1}}{11}

Schritte zur Lösung

d x - 11 x y d y = 2 y d y

Solve separable ODE:

y = \frac{2 ln ( 11 x + 2 ) + c _{1}}{11}, y = - \frac{2 ln ( 11 x + 2 ) + c _{1}}{11}

y = \frac{2 ln ( 11 x + 2 ) + c _{1}}{11}, y = - \frac{2 ln ( 11 x + 2 ) + c _{1}}{11}

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

- 2 x - 9 y^{2} \frac{d y}{d x} = 0

y^{^{'}} - 2 y = - 5

y^{3} \cdot \frac{d y}{y ^{4}} = 4 x^{2} - 8 x^{2} d x

\frac{y ^{^{'}}}{x} + 2 y = 4