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Solve the differential equation $x\frac{dy}{dx}=-2x^2+2y^2$

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Solution

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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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$\frac{d}{dx}\left(\arcsin\left(3x\right)\right)$

$\frac{d}{dx}\tan\left(x\right)$

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Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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