The graph of `phi(x)` is given then the number of positive solution of `||phi(x)|-1| = 1` are

A function phi(x) is defined as follows : phi(x)=2," when x is an integer" =0," when x is not an integer" Draw the graphs of the function and from the graph find the points of discontinuity of phi(x).

Let f(x)=x+1 and phi(x)=x-2. Then the value of x satisfying |f(x)+phi(x)|=|f(x)|+|phi(x)| are :

Let f(x)=x+1 and phi(x)=x-2. Then the value of x satisfying |f(x)+phi(x)|=|f(x)|+|phi(x)| are :

If phi(x) is a differentiable function,then the solution of the different equation dy+{y phi'(x)-phi(x)phi'(x)}dx=0, is

If phi(x)=phi'(x) and phi(1)=2, then phi(3) equals

A function phi(x) satisfies the functional equation x^(2)phi(x)+phi(1-x)=2x-x^(4) for all real x. Then phi(x) is given by

If phi(x) is a differentiable function, then the solution of the different equation dy+{y phi' (x) - phi (x) phi'(x)} dx=0, is

If phi(x) is a differentiable function, then the solution of the different equation dy+{y phi' (x) - phi (x) phi'(x)} dx=0, is

phi(x)=int_(1/x)^( sqrt(x))sin(t^(2))dt, then find the value of phi'(1)