(dy)/(dx)=(x^5y)/(sqrt(16-x^6))

Lösung

\frac{d y}{d x} = \frac{x ^{5} y}{16 - x ^{6}}

y = e^{- \frac{1}{3} 16 - x^{6} + c_{1}}

Schritte zur Lösung

\frac{d y}{d x} = \frac{x ^{5} y}{16 - x ^{6}}

Solve separable ODE:

y = e^{- \frac{1}{3} 16 - x^{6} + c_{1}}

y = e^{- \frac{1}{3} 16 - x^{6} + c_{1}}

y^{^{'}} = \frac{2 y ^{4} - 2}{( 4 x y ^{3} )}

a y - b y^{^{'}} = 0

\frac{d y}{d x} = 7 x + x y

\frac{d h}{h ^{2}} = - 4 t d t

(y + x y) d x - x^{2} d y = 0