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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 . y = g(x) satisfies the differential equation:

Options

  1. Ady dx - y = 12x^2 + 2
  2. Bdy dx + 2y = 12x^2 + 2
  3. Cdy dx + y = 12x^2 + 2
  4. Ddy dx + y = 12x + 2 .

Correct answer

C. dy dx + y = 12x^2 + 2

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