# Verify that the Given Functions (Explicit Or Implicit) is a Solution of the Corresponding Differential Equation Y = Sqrt(A^2 - X^2 ) X in (-a,A) - Mathematics

verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation

y = sqrt(a^2 - x^2 ) x in (-a,a)     :     x + y  dy/dx = 0(y != 0)

#### Solution

y = sqrt(a^2 - x^2)

Differentiating both sides of this equation with respect to x, we get:

Hence, the given function is the solution of the corresponding differential equation.

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#### APPEARS IN

NCERT Class 12 Maths
Chapter 9 Differential Equations
Q 10 | Page 385