2.1462   ODE No. 1462

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

$$-y^{\prime }(x)(a+6k^2{\sin }^2(x))+by(x)+y^{(3)}(x)=0$$ ✗ Mathematica : cpu = 0.0224501 (sec), leaf count = 0 , could not solve

DSolve[b*y[x] - (a + 6*k^2*Sin[x]^2)*Derivative[1][y][x] + Derivative[3][y][x] == 0, y[x], x]

✗ Maple : cpu = 0. (sec), leaf count = 0 , result contains DESol

$$\{y\left(x\right)=\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}\mathit{\_}\mathit{Y}\left(x\right)+(-6k^2{(\sin \left(x\right))}^2-a)\frac{\mathrm{d}}{\mathrm{d}x}\mathit{\_}\mathit{Y}\left(x\right)+b\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})\}$$