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Form a Differential Equation Representing the Given Family of Curves by Eliminating Arbitrary Constants a and B. Y = Ex (A Cos X + B Sin X) - Mathematics

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Question

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.

y = ex (a cos x + b sin x)

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Solution

This is the required differential equation of the given curve.

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Chapter 9: Differential Equations - Exercise 9.3 [Page 391]

APPEARS IN

NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 9 Differential Equations
Exercise 9.3 | Q 5 | Page 391

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