2.74   ODE No. 74

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

$$y^{\prime }(x)-f(x)(y(x)-g(x))\sqrt{(y(x)-a)(y(x)-b)}=0$$ ✗ Mathematica : cpu = 2.11003 (sec), leaf count = 0 , could not solve

DSolve[-(f[x]*Sqrt[(-a + y[x])*(-b + y[x])]*(-g[x] + y[x])) + Derivative[1][y][x] == 0, y[x], x]

✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve(diff(y(x),x)-f(x)*(y(x)-g(x))*((y(x)-a)*(y(x)-b))^(1/2) = 0,y(x))