(dy)/(dx)=(x-8)/(y^3)

Lösung

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

y = 4 2 x^{2} - 32 x + c_{1}, y = - 4 2 x^{2} - 32 x + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = 4 2 x^{2} - 32 x + c_{1}, y = - 4 2 x^{2} - 32 x + c_{1}

y = 4 2 x^{2} - 32 x + c_{1}, y = - 4 2 x^{2} - 32 x + c_{1}

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

y^{^{'}} sec (x) = 5 y^{2}, y (\frac{π}{2}) = \frac{1}{2}

\frac{d Q}{d t} + \frac{Q}{20} = 0

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

\frac{d y}{d x} x y + 2 x + 3 x^{2} = 4