What is the solution for (dy)/(dx)=(19xy)/((ln(y))^{10)} ?

The solution for (dy)/(dx)=(19xy)/((ln(y))^{10)} is y=e^{\sqrt[11]{(209x^2+c_{1})/2}}

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(dy)/(dx)=(19xy)/((ln(y))^{10)}

\frac{d y}{d x} = \frac{19 x y}{( ln ( y ) ) ^{10}}

y = e^{11 \frac{209 x ^{2} + c _{1}}{2}}

Solution steps

\frac{d y}{d x} = \frac{19 x y}{( ln ( y ) ) ^{10}}

Solve separable ODE:

y = e^{11 \frac{209 x ^{2} + c _{1}}{2}}

y = e^{11 \frac{209 x ^{2} + c _{1}}{2}}

(1 + y + y^{2}) d x + (x^{2} - 4) d y = 0

u^{^{'}} - \frac{2}{x} H (x) = \frac{- 2}{x}

(x^{2} + 16) \frac{d y}{d x} + x y = 2 x

y^{^{'}} \cdot x = - y

\frac{d y}{d x} = 6 x 5 y + 7, y (0) = 9

What is the solution for (dy)/(dx)=(19xy)/((ln(y))^{10)} ?
The solution for (dy)/(dx)=(19xy)/((ln(y))^{10)} is y=e^{\sqrt[11]{(209x^2+c_{1})/2}}