I have following differential equation:
$ ode := \\ {\frac { \left( \left( - 0.7215- 0.09954\,y \left( x \right) \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) + 0.1074\,y \left( x \right) + 0.0222\, \left( y \left( x \right) \right) ^{2} \right) \left( \cos \left( 6\,x \right) \right) ^{3}+ \left( \left( \left( - 1.2765- 0.1287\,y \left( x \right) \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) + 0.5766\,y \left( x \right) + 0.03108\, \left( y \left( x \right) \right) ^{2} \right) \sin \left( 6\,x \right) + \left( 0.18+ 0.0504\,y \left( x \right) \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) - 134.55- 0.63\, \left( y \left( x \right) \right) ^{2}- 20.916\,y \left( x \right) \right) \left( \cos \left( 6\,x \right) \right) ^{2}+ \left( \left( \left( - 1.695- 0.357\,y \left( x \right) \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) - 81.0- 0.924\,y \left( x \right) + 0.3048\, \left( y \left( x \right) \right) ^{2} \right) \sin \left( 6\,x \right) + \left( 1.32525+ 0.41895\,y \left( x \right) \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) + 12.42- 3.0795\,y \left( x \right) - 0.1749\, \left( y \left( x \right) \right) ^{2} \right) \cos \left( 6\,x \right) + \left( \left( - 0.34125- 0.23175\,y \left( x \right) \right) {\frac {\rm d}{{\rm d}x }}y \left( x \right) + 1.1355\,y \left( x \right) - 7.02+ 0.2037\, \left( y \left( x \right) \right) ^{2} \right) \sin \left( 6\,x \right) + \left( 0.2835\,y \left( x \right) + 0.6825 \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) + 9.78\,y \left( x \right) + 0.273\, \left( y \left( x \right) \right) ^{2}+ 67.275}{ 36.4\, \left( \cos \left( 6\,x \right) \right) ^{3}+ \left( 122.0\,\sin \left( 6\,x \right) - 144.0 \right) \left( \cos \left( 6\,x \right) \right) ^{2}+ \left( 420.0\,\sin \left( 6\,x \right) - 525.0 \right) \cos \left( 6\,x \right) + 325.0\,\sin \left( 6\,x \right) - 350.0}} = 0 $
If I try to solve it with Maple:
dsolve(ode, y(x))
...the solver doesn't come to an end.
I'm aware that the equation is complex (it is called a differential equation with variable coefficients, correct?) but is there maybe a special "trick" for such a equation?
I assume that the "problems" here are the trigonometric functions, correct?
Thanks in advance.