If `x+2|y|=3y` where `y=f(x)` ,then `f(x)` is

A function f: I to I, f(x + y) = f(x) + f(y) - 1/2 AAx, y in I , where f(1) > 0, then f(x) is

If f(x+y)=2f(x) f(y) for all x,y where f'(0)=3 and f(4)=2, then f'(4) is equal to

"Let" f(x+y)=f(x)f(y) "for all x,y, where" f(0)ne0 . If f'(0)=2, then f(x) is equal to

If y=f(x) satisfies the differential equation (dy)/(dx)+(2x)/(1+x^(2))y=(3x^(2))/(1+x^(2)) where f(1)=1 , then f(2) is equal to

Let f(x+y)=f(x)+f(y) and f(x)=x^(2)g(x)AA x,y in R where g(x) is continuous then f'(x) is

For y gt 0 and x in R, ydx + y^(2)dy = xdy where y = f(x). If f(1)=1, then the value of f(-3) is

Find the domain and the range of the function y=f(x) , where f(x) is given by x^(2)-2x-3

Let Y = y(x) be the solution of the differential equation ( dy ) /( dx) + 2y = f(x) , where f(x) = { {:(1, x in [0,1]),( 0, " Otherwise "):} IF y(0) =0 then y ((3)/(2)) is :

Solve: dy/dx=(y f\'(x)-y^2)/f(x) , where f(x) is a given function of x