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Rewrite the differential equation using Leibniz notation
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$x\frac{dy}{dx}=\frac{1}{x}$
Learn how to solve problems step by step online. Solve the differential equation xy^'=1/x. Rewrite the differential equation using Leibniz notation. 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}. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.