2.106   ODE No. 106

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

$$\frac{1}{2}(a-b)y(x)+x^{a}y(x{)}^2+x^b+x{y}^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.191325 (sec), leaf count = 40

$$\left\{\{y(x)\to -x^{\frac{b-a}{2}}\tan (\frac{2x^{\frac{a+b}{2}}}{a+b}-c_1)\}\right\}$$ ✓ Maple : cpu = 0.045 (sec), leaf count = 41

$$\{y\left(x\right)=-\tan \left(\frac{1}{a+b}(2x^{a/2+b/2}+\mathit{\_}\mathit{C}\mathit{1}(a+b))\right){\left(x^{\frac{a}{2}-\frac{b}{2}}\right)}^{-1}\}$$