2.1578   ODE No. 1578

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

$$-\lambda (ax-b)(y^{″}(x)-a^{2}y(x))-2a^2{y}^{″}(x)+a^{4}y(x)+y^{(4)}(x)=0$$ ✓ Mathematica : cpu = 42.6416 (sec), leaf count = 141

$$\left\{\{y(x)\to c_3{e}^{-ax}{\int }_1^{x}2a{e}^{2aK[1]}\int e^{-aK[1]}\text{Ai}\left(\frac{a^2+\lambda K[1]a-b\lambda }{(a\lambda {)}^{2/3}}\right)dK[1]dK[1]+c_4{e}^{-ax}{\int }_1^{x}2a{e}^{2aK[2]}\int e^{-aK[2]}\text{Bi}\left(\frac{a^2+\lambda K[2]a-b\lambda }{(a\lambda {)}^{2/3}}\right)dK[2]dK[2]+c_1{e}^{-ax}+c_2{e}^{ax}\}\right\}$$ ✓ Maple : cpu = 0.647 (sec), leaf count = 89

$$\{y\left(x\right)={\mathrm{e}}^{ax}(\int {\mathrm{e}}^{-2ax}(\int {\mathrm{e}}^{ax}(\mathrm{B}\mathrm{i}(-\frac{\lambda (ax-b)+a^2}{a\lambda }\sqrt[3]{-a\lambda })\mathit{\_}\mathit{C}\mathit{4}+\mathrm{A}\mathrm{i}(-\frac{\lambda (ax-b)+a^2}{a\lambda }\sqrt[3]{-a\lambda })\mathit{\_}\mathit{C}\mathit{3})\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{2})\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1})\}$$