What is the solution for f^'(x)=(3f(x))/(xln(x)) ?

The solution for f^'(x)=(3f(x))/(xln(x)) is f(x)=c_{1}ln^3(x)

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f^'(x)=(3f(x))/(xln(x))

f^{^{'}} (x) = \frac{3 f ( x )}{x ln ( x )}

f (x) = c_{1} ln^{3} (x)

Solution steps

f^{'} (x) = \frac{3 f ( x )}{x ln ( x )}

Solve separable ODE:

f (x) = c_{1} ln^{3} (x)

f (x) = c_{1} ln^{3} (x)

\frac{d}{d x} (\frac{14400}{x})

\frac{d}{d x} y = \frac{x ^{4} - 3 x ^{3} - 6 x ^{2} - 3 x + 2}{x}

\int \frac{5}{x ^{2} + 5} d x

n = 1 \sum \infty \frac{6}{n ^{5}}

\frac{d}{d x} (- x^{3} + 5 a x^{2} - 3 a^{2} x - b)

What is the solution for f^'(x)=(3f(x))/(xln(x)) ?
The solution for f^'(x)=(3f(x))/(xln(x)) is f(x)=c_{1}ln^3(x)