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- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $-y\cdot dx$ from both sides of the equation
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$x\ln\left(x\cdot dy\right)=0- -1y\cdot dx$
Learn how to solve 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}.
