y^'=(1+y^6)/(xy^5),y(1)=1

Lösung

y^{^{'}} = \frac{1 + y ^{6}}{x y ^{5}}, y (1) = 1

y = 6 2 x^{6} - 1

Schritte zur Lösung

y^{'} (x) = \frac{1 + y ^{6}}{x y ^{5}}

Solve separable ODE:

y = 6 2 x^{6} - 1

y = 6 2 x^{6} - 1

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

\frac{df}{d x} = 1 - (r) f (x)

\frac{d z}{d t} = 6 t e^{4 z}

y^{^{'}} - 5 y = 8, e^{5 x} y (0) = 0

\frac{d x}{d t} = 2 x x