An equation of the form `a^(f(x)) = 1`

An equation of the form f(a^(x))=0

An equation of the form la^(f(x))+mb^(f(x))+c=0

An equation of the form a^(f(x))+b^(f(x))=c

An equation of the form (f(x))^((1)/(3))+(g(x))^((1)/(3))=h(x)

An equation of the form (f(x))^((1)/(2n))=g(x) equivalent to the system g(x)>=0;f(x)=g^(2n)(x)

An equation of the form (f(x))^(g(X))

An equation of the form f^(2n)(x)=g^(2n)(x) is equivalent to f(x)=g(x)

An inequation of the form f^((1)/(2)n)(x)

Integration of the form f'(x)/(f(x))dx

f any differentisl equation in the form f(f_(1)(x,y)d(f_(1)(x,y)+phi(f_(2)(x,y)d(f_(2)(x,y))+....=0 then each term can be intergrated separately. For example, intsinxyd(xy)+int((x)/(y))d((x)/(y))=-cos xy+(1)/(2)((x)/(y))^(2)+C Solution of differential equation (2xcosy+y^(2)cosx)dx+(2ysinx-x^(2)siny)dy=0 is