(dy)/(dx)=-2/4 x^7y^5

Lösung

\frac{d y}{d x} = - \frac{2}{4} x^{7} y^{5}

y = 4 - \frac{4}{- x ^{8} + c _{1}}, y = - 4 - \frac{4}{- x ^{8} + c _{1}}

Schritte zur Lösung

\frac{d y}{d x} = - \frac{2}{4} x^{7} y^{5}

Solve separable ODE:

y = 4 - \frac{4}{- x ^{8} + c _{1}}, y = - 4 - \frac{4}{- x ^{8} + c _{1}}

y = 4 - \frac{4}{- x ^{8} + c _{1}}, y = - 4 - \frac{4}{- x ^{8} + c _{1}}

y^{^{'}} + \frac{y}{6} = 2, y (- 1) = 0

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

\frac{d y}{d x} = \frac{e ^{x} - cos ( 2 x )}{y}

y^{^{'}} = - 1 - 2 y

\frac{d y}{d x} = 7 y^{2} x^{3}