If y=f(x) satisfy differential equation `( dy )/(dx)-y=e^(x)` with f(0)=1 then value of f'(0) is

If y=f (x) satisfy the differential equation (dy)/(dx) + y/x =x ^(2),f (1)=1, then value of f (3) equals:

A function y=f(x) satisfies the differential equation (dy)/(dx)+x^(2)y+2x=0,f(1)=1 then the value of f(1) is-

Let y=f(x) is a solution of differential equation e^(y)((dy)/(dx)-1)=e^(x) and f(0)=0 then f(1) is equal to

Let f:R rarr R be a differentiable function with f(0)=0. If y=f(x) satisfies the differential equation (dy)/(dx)=(2+5y)(5y-2), then the value of (lim)_(x rarr oo)f(x) is

Let f:R to R be a differentiable function with f(0)=0 . If y=f(x) satisfies the differential equation (dy)/(dx)=(2+5y)(5y-2) , then the value of lim_(x to oo) f(x) is……………….

Let f:[0,1] rarr R be such that f(xy)=f(x).f(y), for all x,y in [0,1] and f(0) ne 0. If y=y(x) satisfies the differential equation, dy/dx=f(x) with y(0)=1, then y(1/4)+y(3/4) is equql to (A) 5 (B) 3 (C) 2 (D) 4

Let y=f(x) satisfy the differential equation (dy)/(dx)=(x+y)/(x),y(1)=1, then y((1)/(e)) is equal

Let f: R rarr R be a differentiable function with f(0)=0. If y=f(x) satisfies the differential equation dy/dx=(2+5y)(5y-2), then the value of lim_(x rarr - infty) f (x) is …....