2.1471   ODE No. 1471

f(x)y(x)+f(x)y(x)+y(3)(x)+y(x)=0

Mathematica : cpu = 0.105738 (sec), leaf count = 84

DSolve[f[x]*y[x] + Derivative[1][y][x] + f[x]*Derivative[2][y][x] + Derivative[3][y][x] == 0,y[x],x]
 
{{y(x)c3eix1xe2iK[3]1K[3]exp(1K[2](if(K[1]))dK[1])dK[2]dK[3]+c1eix+12ic2eix}}

Maple : cpu = 0.161 (sec), leaf count = 36

dsolve(diff(diff(diff(y(x),x),x),x)+f(x)*diff(diff(y(x),x),x)+diff(y(x),x)+f(x)*y(x)=0,y(x))
 
y(x)=eix(e2ix(c3e(f(x)+i)dxdx+c2)dx+c1)