What is the solution for (dy}{dx}=\frac{4sqrt(y)ln(x))/x ,y(e)=1 ?

The solution for (dy}{dx}=\frac{4sqrt(y)ln(x))/x ,y(e)=1 is y=ln^4(x)

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(dy}{dx}=\frac{4sqrt(y)ln(x))/x ,y(e)=1

\frac{d y}{d x} = \frac{4 y ln ( x )}{x}, y (e) = 1

y = ln^{4} (x)

Solution steps

\frac{d y}{d x} = \frac{4 y ln ( x )}{x}

Solve separable ODE:

y = ln^{4} (x)

y = ln^{4} (x)

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What is the solution for (dy}{dx}=\frac{4sqrt(y)ln(x))/x ,y(e)=1 ?
The solution for (dy}{dx}=\frac{4sqrt(y)ln(x))/x ,y(e)=1 is y=ln^4(x)