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)`
`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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