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The solution of the differential equation 3 x 2 s i n 1 x + y d x = x c o s 1 x d x - x d y is (where, c is an arbitrary constant)

Options

  1. As i n 1 x = x y + c
  2. Bx 3 s i n 1 x + x y = c
  3. Cx 3 s i n 1 x = x y + c
  4. Ds i n x = x 3 y + c

Correct answer

B. x 3 s i n 1 x + x y = c

Step-by-step solution

Given equation can be written as d x 3 s i n 1 x + d x y = 0 ∴ solution is x 3 s i n 1 x + x y = c

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