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What is the differential equation of y=A- B x ?

Options

  1. Ax y₂+y₁=0
  2. Bx y₂+2 y₁=0
  3. Cx y₂-2 y₁=0
  4. D2 x y₂+y₁=0

Correct answer

B. x y₂+2 y₁=0

Step-by-step solution

General solution, y=A- B x aligned & y₁=-B (- 1 x^2 )= B x^2 & x^2 y₁=B & x^2 y₂+y₁ 2 x=0 & x (x y₂+2 y₁ )=0 aligned Differential Equation : x y₂+2 y₁=0

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