2.141   ODE No. 141

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

$$axy(x)+b+x^2(y^{\prime }(x)+y(x{)}^2)=0$$ ✓ Mathematica : cpu = 0.0268143 (sec), leaf count = 67

$$\left\{\{y(x)\to -\frac{\sqrt{a^2-2a-4b+1}(\frac{2c_1}{x^{\sqrt{a^2-2a-4b+1}}+c_1}-1)-1}{2x}-\frac{a}{2x}\}\right\}$$

✓ Maple : cpu = 0.053 (sec), leaf count = 64

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