3.370   ODE No. 370

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

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

Mathematica: cpu = 22.438849 (sec), leaf count = 23 $$\text{DSolve}[-f(x{)}^2+y^{\prime }(x{)}^2+y(x{)}^2=0,y(x),x]$$

Maple: cpu = 1.404 (sec), leaf count = 0 $$\text{could not solve}$$