(dy)/(dx)=(7xy)/((ln(y))^{10)}

Lösung

\frac{d y}{d x} = \frac{7 x y}{( ln ( y ) ) ^{10}}

y = e^{11 \frac{77 x ^{2} + c _{1}}{2}}

Schritte zur Lösung

\frac{d y}{d x} = \frac{7 x y}{( ln ( y ) ) ^{10}}

Solve separable ODE:

y = e^{11 \frac{77 x ^{2} + c _{1}}{2}}

y = e^{11 \frac{77 x ^{2} + c _{1}}{2}}

\frac{d y}{d x} + \frac{y}{6} = 0

\frac{d y}{d x} + 5 x y = 6 x

\frac{1}{3 y ^{^{'}}} = \frac{2 x + 1}{6 y}

y^{^{'}} + 10 y = 0

x (\frac{d y}{d x}) = 6 y