2.1670   ODE No. 1670

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

$$a{(x{y}^{\prime }(x)-y(x))}^2-b+x{y}^{″}(x)=0$$ ✓ Mathematica : cpu = 80.7614 (sec), leaf count = 50

$$\left\{\{y(x)\to x({\int }_1^x\frac{\sqrt{-\frac{b}{a}}\tan (c_1-a\sqrt{-\frac{b}{a}}K[2])}{K[2{]}^2}dK[2]+c_2)\}\right\}$$

✓ Maple : cpu = 0.352 (sec), leaf count = 35

$$\{y\left(x\right)=(\int \frac{i}{x^2}\tan (-i\sqrt{a}\sqrt{b}x+\mathit{\_}\mathit{C}\mathit{1})\sqrt{b}\frac{1}{\sqrt{a}}\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{2})x\}$$