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

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 (f(x))^(g(X))

An equation of the form (a-f(x))^((1)/(n))+(b+f(x))^((1)/(pi))=g(x)

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

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

General solution of differential equation of f (x) (dy)/(dx) =f ^(2) (x)+yf(x) +f'(x)y is: (c being arbitary constant.)

Let f(x)=ax^(2)+bx+c, where a,b,c,in R and a!=0, If f(2)=3f(1) and 3 is a roots of the equation f(x)=0, then the other roots of f(x)=0 is