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- Exact Differential Equation
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- Integrate by partial fractions
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- FOIL Method
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The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
Learn how to solve integrals by partial fraction expansion problems step by step online.
$y\frac{dy}{dx}\ln\left|x\right|=\frac{\left(y+1\right)^2}{x^2}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Solve the differential equation yln(x)dy/dx=((y+1)/x)^2. 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}. 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{y}{\left(y+1\right)^2}dy. Simplify the expression \frac{1}{\ln\left(x\right)}\frac{1}{x^2}dx.
