Solve the differential equation $x\ln\left(x\cdot dy\right)-y\cdot dx=0$

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Learn how to solve integrals of polynomial functions problems step by step online. Solve the differential equation xln(xdy)-ydx=0. We need to isolate the dependent variable y, we can do that by simultaneously subtracting -y\cdot dx from both sides of the equation. Multiply -1 times -1. When multiplying two powers that have the same base (\frac{1}{x}), you can add the exponents. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}.