(dy)/(dx)= 1/(y-2)

Lösung

\frac{d y}{d x} = \frac{1}{y - 2}

y = \frac{4 + 16 - 4 ( - c _{1} - 2 x )}{2}, y = \frac{4 - 16 - 4 ( - c _{1} - 2 x )}{2}

Schritte zur Lösung

\frac{d y}{d x} = \frac{1}{y - 2}

Solve separable ODE:

y = \frac{4 + 16 - 4 ( - c _{1} - 2 x )}{2}, y = \frac{4 - 16 - 4 ( - c _{1} - 2 x )}{2}

y = \frac{4 + 16 - 4 ( - c _{1} - 2 x )}{2}, y = \frac{4 - 16 - 4 ( - c _{1} - 2 x )}{2}

\frac{\frac{d y}{d t}}{y} = \frac{( 2 t + 1 )}{t ^{2}}

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

\frac{d x}{d t} = x^{2} + \frac{1}{9}

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

- 3 y^{^{'}} - 6 y = 0