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Black Book Advanced Problems in MathematicsMathematicsDifferential Equations

General solution of differential equation of f(x) dy dx = f^2(x) + f(x)y + f'(x)y is ( c being arbitrary constant):

Options

  1. Ay = f(x) + c e^x
  2. By = -f(x) + c e^x
  3. Cy = -f(x) + c e^x f(x)
  4. Dy = c f(x) + e^x .

Correct answer

C. y = -f(x) + c e^x f(x)

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