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Black Book Advanced Problems in MathematicsMathematicsDifferential Equations

If a differentiable function satisfies (x-y)f(x+y) - (x+y)f(x-y) = 2(x^2 y - y^3) x, y R and f(1) = 2 , then:

Options

  1. Af(x) must be polynomial function
  2. Bf(3) = 12
  3. Cf(0) = 0
  4. Df(3) = 13 .

Correct answer

A. f(x) must be polynomial function

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