A function `y=f(x)` satisfies `f''(x)=-1/x^2-pi^2sin(pix)`, `f'(2)=pi+1/2` and `f(1)=0`then value of `f(1/2)` is

A function y=f(x) satisfies A function y=f(x) satisfies f" (x)= -1/x^2 - pi^2 sin(pix) ; f'(2) = pi+1/2 and f(1)=0 . The value of f(1/2) then

A function y=f(x) satisfies f(x)=-(1)/(x^(2))-pi^(2)sin(pi x);f'(2)=pi+(1)/(2) and f(1)=0. The value of f((1)/(2))

If the function y=f(x) satisfies f'(x)+f(x)cot x-2cos x=0,f((pi)/(2))=1 then f((pi)/(3)) is equal to

If f'(x) = tan^(-1)(Sec x + tan x), x in (-pi/2 , pi/2) and f(0) = 0 then the value of f(1) is

If f'(x) = tan^(-1)(Sec x + tan x), x in (-pi/2 , pi/2) and f(0) = 0 then the value of f(1) is

A function y=f(x) satisfies (x+1)f'(x)-2(x^(2)+x)f(x)=((e^(x))^(2))/((x+1)),AA x>1 If f(0)=5, then f(x) is

A function y=f(x) satisfies (x+1)f^(')(x)-2(x^(2)+x)f(x) = e^(x^(2))/(x+1), Aax gt -1 . If f(0)=5 , then f(x) is

Let f(x) be a function which satisfies the relation f(x+1)+f(2x+2)+f(1-x)+f(2+x)=x+1 AA x in R then value of [f(0)] is

A function y=f(x) satisfies (x+1)f^(prime)(x)-2(x^2+x)f(x)=(e^x^2)/((x+1)),AAx > -1. If f(0)=5, then f(x) is