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For the equation \[ \frac{d^3 y}{dx^3} + x \left( \frac{dy}{dx} \right)^{3/2} + x^2 y = 0 \] the correct description is
  • GATE CE - 2022
  • GATE CE
  • Engineering Mathematics
  • Higher order linear equations with constant coefficients

The solution of the second-order differential equation \[ \frac{d^2 y}{dx^2} + 2 \frac{dy}{dx} + y = 0 \] with boundary conditions \( y(0) = 1 \) and \( y(1) = 3 \) is

  • GATE CE - 2021
  • GATE CE
  • Engineering Mathematics
  • Higher order linear equations with constant coefficients