# Differential equations of Circles

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Differential Equation (XV)

Formation of Differential Equations by Elimination

Find the differential equations of all circles of radius (whatever their radii or positions in the plane xOy).

Â© BrainMass Inc. brainmass.com December 24, 2021, 5:33 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/differential-equations-circles-54455

## SOLUTION This solution is **FREE** courtesy of BrainMass!

The equation of all circles of radius a is of the form

(x - h)^2 + (y - k)^2 = a^2 -------------------------(1)

The main solution of the Posting is in the attached file.

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Â© BrainMass Inc. brainmass.com December 24, 2021, 5:33 pm ad1c9bdddf>https://brainmass.com/math/calculus-and-analysis/differential-equations-circles-54455