2.143   ODE No. 143

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

$$x^2(ay(x{)}^2+y^{\prime }(x))-b=0$$ ✓ Mathematica : cpu = 0.0896426 (sec), leaf count = 51

$$\left\{\{y(x)\to -\frac{-1+\sqrt{4ab+1}(-1+\frac{2c_1}{x^{\sqrt{4ab+1}}+c_1})}{2ax}\}\right\}$$ ✓ Maple : cpu = 0.046 (sec), leaf count = 41

$$\{y\left(x\right)=\frac{1}{2ax}(-\tanh \left(\frac{-\ln \left(x\right)+\mathit{\_}\mathit{C}\mathit{1}}{2}\sqrt{4ab+1}\right)\sqrt{4ab+1}+1)\}$$