Home
Class 12
MATHS
Let y=y(x) is a solution of (dy)/(dx)=f(...

Let `y=y(x)` is a solution of `(dy)/(dx)=f(x)` where `f(xy)=f(x)f(y) AA x,y in R` and `f(0)!=0` and `y(0)=1/2`, then `y(1/4)+y(3/4)` is equal to (1)1 (2)2 (3) 3 (4) 4

Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x+y) = f(x) + f(y) + |x|y+xy^(2),AA x, y in R and f'(0) = 0 , then

If f(x+y) = f(x) + f(y) + |x|y+xy^(2),AA x, y in R and f'(0) = 0 , then

If f(x+y) = f(x) + f(y) + |x|y+xy^(2),AA x, y in R and f'(0) = 0 , then

If f((x+2y)/(3))=(f(x)+2f(y))/(3)AA x,y in R and f'(0)=1,f(0)=2 then find f(x) .

If f ((x + 2y)/(3)) = (f (x) + 2f (y))/( 3) AA x, y in R and f '(0) = 1, f (0) = 2, then find f (x).

If f((x+2y)/3)=(f(x)+2f(y))/3\ AA\ x ,\ y in R and f^(prime)(0)=1 , f(0)=2 , then find f(x) .

Let f(x+1/y) +f(x-1/y) =2f(x) f(1/y) AA x, y in R , y!=0 and f(0)=0 then the value of f(1) +f(2)=

Let f(x+1/y) +f(x-1/y) =2f(x) f(1/y) AA x, y in R , y!=0 and f(0)=0 then the value of f(1) +f(2)=

Let f(x+1/y) +f(x-1/y) =2f(x) f(1/y) AA x, y in R , y!=0 and f(0)=0 then the value of f(1) +f(2)=

f(x+(1)/(y))+f(x-(1)/(y))=2f(x)*f((1)/(y)) for all xy in R-{0} and f(0)=(1)/(2), then f(4) is