2.1462   ODE No. 1462

\[ -y'(x) \left (a+6 k^2 \sin ^2(x)\right )+b y(x)+y^{(3)}(x)=0 \]

✗ Mathematica : cpu = 0.0470829 (sec), leaf count = 0

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

, 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

dsolve(diff(diff(diff(y(x),x),x),x)-(6*k^2*sin(x)^2+a)*diff(y(x),x)+b*y(x)=0,y(x))
 

, result contains DESol or ODESolStruc

\[y \left (x \right ) = \operatorname {DESol}\left (\left \{\frac {d^{3}}{d x^{3}}\textit {\_Y} \left (x \right )+\left (-6 k^{2} \sin \left (x \right )^{2}-a \right ) \left (\frac {d}{d x}\textit {\_Y} \left (x \right )\right )+b \textit {\_Y} \left (x \right )\right \}, \left \{\textit {\_Y} \left (x \right )\right \}\right )\]