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Black Book Advanced Problems in MathematicsMathematicsDifferential Equations

Paragraph: **** A differentiable function y = g(x) satisfies ₀^x (x - t + 1) g(t) dt = x^4 + x^2; x 0 . The function g(x) is:

Options

  1. Ax(2 + x e^x)
  2. Bx(e^x + 1)
  3. C2x e^x
  4. Dx + (x + 1) .

Correct answer

C. 2x e^x

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