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Rewrite the differential equation using Leibniz notation
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$\frac{dy}{dx}=y^{-1}$
Learn how to solve differential equations problems step by step online. Solve the differential equation y^'=y^(-1). Rewrite the differential equation using Leibniz notation. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Any expression to the power of 1 is equal to that same expression. Divide fractions \frac{1}{\frac{1}{y}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.