2.1187   ODE No. 1187

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

$$ax{y}^{\prime }(x)+by(x)+x^2{y}^{″}(x)=0$$ ✓ Mathematica : cpu = 0.0138383 (sec), leaf count = 99

$$\left\{\{y(x)\to c_1{x}^{\frac{1}{2}\sqrt{b}(-\frac{\sqrt{a^2-2a-4b+1}}{\sqrt{b}}-\frac{a-1}{\sqrt{b}})}+c_2{x}^{\frac{1}{2}\sqrt{b}(\frac{\sqrt{a^2-2a-4b+1}}{\sqrt{b}}-\frac{a-1}{\sqrt{b}})}\}\right\}$$

✓ Maple : cpu = 0.014 (sec), leaf count = 53

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