2.1419   ODE No. 1419

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ y''(x)=-\frac {\sec (x) y'(x) \left (x^2 \sin (x)-2 x \cos (x)\right )}{x^2}-\frac {y(x) \sec (x) (2 x \cos (x)-x \sin (x))}{x^2} \] Mathematica : cpu = 1.21778 (sec), leaf count = 0 , could not solve

DSolve[Derivative[2][y][x] == -((Sec[x]*(2*x*Cos[x] - x*Sin[x])*y[x])/x^2) - (Sec[x]*(-2*x*Cos[x] + x^2*Sin[x])*Derivative[1][y][x])/x^2, y[x], x]

Maple : cpu = 0.227 (sec), leaf count = 12

\[\{y \left (x \right ) = \left (c_{2} \sin \left (x \right )+c_{1}\right ) x\}\]