3.460   ODE No. 460

$$\boxed{{\displaystyle ({\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2+{\left(y\left(x\right)\right)}^2){(\cos \left(x\right))}^4-a^2=0}}$$

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

Mathematica: cpu = 56.015113 (sec), leaf count = 28 $$\text{DSolve}[{\cos }^4(x)(y^{\prime }(x{)}^2+y(x{)}^2)-a^2=0,y(x),x]$$

Maple: cpu = 5.163 (sec), leaf count = 0 $$\text{could not solve}$$