1、求下面微分方程的通解：x^3+y(x)郏柃妒嘌^3 = 3*x*y(x)^2*y'(x)先求显式解：with(DEtools):fc:=x^3+y(x)^3=3*x*y(x)^2*diff(烤恤鹇灭y(x),x);dsolve(fc,y(x));显式解一共有三个。
3、显式解实际上是隐式解y^3-（x^3）/2-x*C1 = 0的根：solve(y(x)^3-(1/2)*x^3-x*_C1 = 0, y(x))
5、显式解复杂，隐式解简单：dsolve(fc, y(x), implicit)
