The function `f(x) ` satisfying the equation `f^2 (x) + 4 f'(x) f(x) + (f'(x))^2 = 0`

The function f(x) satisfying the equation (f (x))^2 + 4 f'(x) f(x) + (f'(x))^2 = 0

The function f(x) satisfying the equation f^(2)(x)+4f'(x)f(x)+(f'(x))^(2)=0

The function f (x) satisfy the equation f (1-x)+ 2f (x) =3x AA x in R, then f (0)=

The function f (x) satisfy the equation f (1-x)+ 2f (x) =3x AA x in R, then f (0)=

A real valued function f(x) satisfies the functional equation f(x-y) = f(x) f(y) - f(a-x) f(a+y) , where a is a given constant and f(0)=1 , f(2a-x) =?

A real valued function f(x) satisfies the functional equation f(x-y) = f(x) f(y) - f(a-x) f(a+y) , where a is a given constant and f(0)=1 , f(2a-x) =?

A function f : R rarr R satisfies the equation f(x + y) = f(x) . f(y) for all, f(x) ne 0 . Suppose that the function is differentiable at x = 0 and f'(0) = 2. Then,

A function f : R rarr R satisfies the equation f(x + y) = f(x) . f(y) for all, f(x) ne 0 . Suppose that the function is differentiable at x = 0 and f'(0) = 2. Then,

A function f : R rarr R satisfies the equation f(x + y) = f(x) . f(y) for all, f(x) ne 0 . Suppose that the function is differentiable at x = 0 and f'(0) = 2. Then,

A function f : R rarr R satisfies the equation f(x + y) = f(x) . f(y) for all, f(x) ne 0 . Suppose that the function is differentiable at x = 0 and f'(0) = 2. Then,