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Find the Differential Equation of the Family of Concentric Circles `X^2 + Y^2 = A^2` - ISC (Commerce) Class 12 - Mathematics

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Question

Find the differential equation of the family of concentric circles `x^2 + y^2 = a^2`

Solution

Finally of concentric circle is `x^2 + y^2 = a^2`

∴DDifferential w.r.t x

`2x + 2y dy/dx = 0`

`:. y dy/dx + x = 0`

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Solution Find the Differential Equation of the Family of Concentric Circles `X^2 + Y^2 = A^2` Concept: General and Particular Solutions of a Differential Equation.
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