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Black Book Advanced Problems in MathematicsMathematicsDifferential Equations

A function y = f(x) satisfies the differential equation (x+1)f'(x) - 2(x^2 + x)f(x) = e^ x^2 (x+1) ; x > -1 . If f(0) = 5 , then f(x) is:

Options

  1. A( 3x+5 x+1 )e^ x^2
  2. B( 6x+5 x+1 )e^ x^2
  3. C6x+5 (x+1)^2 e^ x^2
  4. D( 5-6x x+1 )e^ x^2 .

Correct answer

B. ( 6x+5 x+1 )e^ x^2

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