Let `(dy)/(dx)+y=f(x)` where is a continous fuction of x with (0) =1 and `f(x)={{:(e^(-x),if 0lexle2),(e^(-2), if xgt2):}` Which is of the following hold(s) good?

Let (dy)/(dx)+y=f(x) where y is a continous fuction of x with y(0) =1 and f(x)={{:(e^(-x),if 0lexle2),(e^(-2), if xgt2):} Which is of the following hold(s) good?

Let (dy)/(dx) + y = f(x) where y is a continuous function of x with y(0) = 1 and f(x) = {{:(e^(-x), if o le x le 2),(e^(-2),if x gt 2):} Which of the following hold(s) good ?

Let (dy)/(dx) + y = f(x) where y is a continuous function of x with y(0) = 1 and f(x) = {{:(e^(-x), if o le x le 2),(e^(-2),if x gt 2):} Which of the following hold(s) good ?

For the function f(x)=e^(e^(x))-tan^(-1)x-3=0 which of the following holds good?

If f(x)={{:(x",",0lexle1),(x+a",",xgt1):} then

Let f(x) be a function defined in 1lexleoo by f(x)={{:(2-x" for "1lexle2),(3x-x^(2)" for "xgt2):} What is the differentiable coefficient of f(x) at x=3 ?

Let f(x) be a function defined in 1lexltoo by. f(x)={:[(2-x,"for "1lexle2),(3x-x^(2),"for "xgt2):} What is the differentiable coefficient of f(x) at x = 3?

Let f(x) be a function defined in 1lexleoo by f(x)={{:(2-x" for "1lexle2),(3x-x^(2)" for "xgt2):} Consider the following statements : 1. f'(2+0) does not exist. 2. f'(2-0) does not exist. Which of the above statements is/are correct?