(dy)/(dx)=x^8y^{-5},y(0)=2

Lösung

\frac{d y}{d x} = x^{8} y^{- 5}, y (0) = 2

y = 6 \frac{2 x ^{9}}{3} + 64

Schritte zur Lösung

\frac{d y}{d x} = x^{8} y^{- 5}

Solve separable ODE:

y = 6 \frac{2 x ^{9}}{3} + 64

y = 6 \frac{2 x ^{9}}{3} + 64

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

\frac{d y}{d x} = a (500 - y)

\frac{d y}{d x} = \frac{y cos ( x )}{3 x}

(t^{2} + 1) d x = (x + 4) d t

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