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Group the terms of the differential equation. Move the terms of the $y$ variable to the left side, and the terms of the $x$ variable to the right side of the equality
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$\frac{1}{8y\ln\left(y\right)}\frac{1}{y}dy=\frac{3}{x}dx$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx=(8yln(y))/x,y=3. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Simplify the expression \frac{1}{8y\ln\left(y\right)}\frac{1}{y}dy. Integrate both sides of the differential equation, the left side with respect to . Solve the integral \int\frac{1}{8y^2\ln\left(y\right)}dy and replace the result in the differential equation.