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KCET2011MathematicsDifferential Equations

If ⁻¹ ( y b )=n ( x n ) , then

Options

  1. Ax y₁=n b²-y²
  2. Bx y₁+n b²-y² =0
  3. Cy₁=x b²-y²
  4. Dx y₁- b²-y² =0

Correct answer

B. x y₁+n b²-y² =0

Step-by-step solution

Given, ⁻¹ ( y b )=n ( x n ) ( y₁= d y d x ) Differentiating w.r.t. ' x ' gathered - 1 1-(y / b)² y₁ b =n 1 (x / n) 1 n - b b²-y² y₁ b = n² x 1 n - y₁ b²-y² = n x -x y₁=n b²-y² x y₁+n b²-y² =0 gathered

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