2.1419   ODE No. 1419

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

$$y^{″}(x)=-\frac{\sec (x)y^{\prime }(x)(x^2\sin (x)-2x\cos (x))}{x^2}-\frac{y(x)\sec (x)(2x\cos (x)-x\sin (x))}{x^2}$$ ✗ Mathematica : cpu = 1.22522 (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 = 0.239 (sec), leaf count = 12

$$\{y\left(x\right)=x(\sin \left(x\right)\mathit{\_}\mathit{C}\mathit{2}+\mathit{\_}\mathit{C}\mathit{1})\}$$