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

The solution for (dy}{dx}=\frac{4sqrt(y)ln(x))/x is y=ln^4(x)+c_{1}ln^2(x)+(c_{1}^2)/4

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

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

y = ln^{4} (x) + c_{1} ln^{2} (x) + \frac{c _{1}^{2}}{4}

Solution steps

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

Solve separable ODE:

y = ln^{4} (x) + c_{1} ln^{2} (x) + \frac{c _{1}^{2}}{4}

y = ln^{4} (x) + c_{1} ln^{2} (x) + \frac{c _{1}^{2}}{4}

(1.23) (2.46)

\int_{\frac{π}{2}}^{π} 2 cot (\frac{x}{2}) d x

f (x) = \frac{x cos ( x ) - sin ( x )}{x ^{2}}

x \to - 3 - lim (\frac{1}{( x + 3 ) ^{4}})

\frac{11}{x}

What is the solution for (dy}{dx}=\frac{4sqrt(y)ln(x))/x ?
The solution for (dy}{dx}=\frac{4sqrt(y)ln(x))/x is y=ln^4(x)+c_{1}ln^2(x)+(c_{1}^2)/4