2.1448   ODE No. 1448

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

$$y^{″}(x)=-\frac{b^{2}y(x)}{{(x^2-a^2)}^2}$$ ✓ Mathematica : cpu = 0.329764 (sec), leaf count = 149

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

✓ Maple : cpu = 0.109 (sec), leaf count = 87

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