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Black Book Advanced Problems in MathematicsMathematicsDifferential Equations

The solution of the differential equation (x^2+1) d^2y dx^2 = 2x ( dy dx ) under the conditions y(0) = 1 and y'(0) = 3 , is:

Options

  1. Ay = x^2 + 3x + 1
  2. By = x^3 + 3x + 1
  3. Cy = x^4 + 3x + 1
  4. Dy = 3 ⁻¹x + x^2 + 1 .

Correct answer

B. y = x^3 + 3x + 1

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