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- Linear Differential Equation
- Exact 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
- Integrate using tabular integration
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Multiplying the fraction by $dy$
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$\frac{\frac{x^2dy}{y^2-6}}{dx}=\frac{1}{2y}$
Learn how to solve problems step by step online. Solve the differential equation ((x^2)/(y^2-6)dy)/dx=1/(2y). Multiplying the fraction by dy. Divide fractions \frac{\frac{x^2dy}{y^2-6}}{dx} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. 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. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.