3.74   ODE No. 74

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-f\left(x\right)(y\left(x\right)-g\left(x\right))\sqrt{(y\left(x\right)-a)(y\left(x\right)-b)}=0}}$$

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

Mathematica: cpu = 2.972878 (sec), leaf count = 39 $$\text{DSolve}[y^{\prime }(x)-f(x)(y(x)-g(x))\sqrt{(y(x)-a)(y(x)-b)}=0,y(x),x]$$

Maple: cpu = 0.484 (sec), leaf count = 0 $$\text{could not solve}$$