Question: why directly not find ode answer?

in this example is so different solution How i can get directly answer of this kind of ode equation when contain complicate term

restart; ode := 6*x*y(x)^2+4*x^3*y(x)+(6*x^2*y(x)+x^4+exp(y(x)))*(diff(y(x), x)) = 0; with(DEtools, odeadvisor); Student:-ODEs:-Type(ode); W := dsolve(ode, y(x)); odetest(W, ode)

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