2.1018   ODE No. 1018

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

$$a{e}^{bx}y(x)+y^{″}(x)=0$$ ✓ Mathematica : cpu = 0.0234689 (sec), leaf count = 55

$$\left\{\{y(x)\to c_1{J}_0\left(\frac{2\sqrt{a}\sqrt{e^{bx}}}{b}\right)+2c_2{Y}_0\left(\frac{2\sqrt{a}\sqrt{e^{bx}}}{b}\right)\}\right\}$$

✓ Maple : cpu = 0.046 (sec), leaf count = 39

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathit{J}}_0\left(2\frac{\sqrt{a}{\mathrm{e}}^{1/2bx}}{b}\right)+\mathit{\_}\mathit{C}\mathit{2}{\mathit{Y}}_0\left(2\frac{\sqrt{a}{\mathrm{e}}^{1/2bx}}{b}\right)\}$$