2.1465   ODE No. 1465

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

$$-a^2{y}^{\prime }(x)+2a^{2}y(x)-2y^{″}(x)+y^{(3)}(x)-\sinh (x)=0$$ ✓ Mathematica : cpu = 0.0826201 (sec), leaf count = 95

$$\left\{\{y(x)\to \frac{e^{-x}(3a^2{e}^{2x}-a^2-3e^{2x}-12e^x\sinh (x)-6e^x\cosh (x)+1)}{6(a-2)(a+2)(a^2-1)}+c_1{e}^{-ax}+c_3{e}^{ax}+c_2{e}^{2x}\}\right\}$$ ✓ Maple : cpu = 0.086 (sec), leaf count = 113

$$\{y\left(x\right)=\frac{1}{6a^4-30a^2+24}((6\mathit{\_}\mathit{C}\mathit{3}{a}^4-30\mathit{\_}\mathit{C}\mathit{3}{a}^2+24\mathit{\_}\mathit{C}\mathit{3}){\mathrm{e}}^{-ax}+6(a-1)(\mathit{\_}\mathit{C}\mathit{1}{a}^2+1/6\sinh \left(3x\right)-4\mathit{\_}\mathit{C}\mathit{1}-1/6\cosh \left(3x\right))(a+1){\mathrm{e}}^{2x}+(6\mathit{\_}\mathit{C}\mathit{2}{a}^4-30\mathit{\_}\mathit{C}\mathit{2}{a}^2+24\mathit{\_}\mathit{C}\mathit{2}){\mathrm{e}}^{ax}+3{\mathrm{e}}^x{a}^2-12{\mathrm{e}}^x+3{\mathrm{e}}^{-x})\}$$