DSolve[y[x]*(4*f[x]*g[x] + 2*Derivative[1][g][x]) + (2*f[x]^2 + 4*g[x] + Derivative[1][f][x])*Derivative[1][y][x] + 3*f[x]*Derivative[2][y][x] + Derivative[3][y][x] == 0,y[x],x]