- #1
muzialis
- 166
- 1
Hi All,
I am asked to produce a function such that, literally, increasing the indipendent variable by lambda will produce an increase in the function of a*lambda.
I thought about setting up an equation as follows
y(lambda*x)=a*lambda*y(x)
In general a simple solution of the functional equation y(ax)-by(x)=0 is y = Kx^(ln(a)/ln(b)). C is arbitrary
Using this solution scheme I am unable to obtain solutions independent upon lambda.
Is the task well posed at all?
Thank you very much
Muzialis
I am asked to produce a function such that, literally, increasing the indipendent variable by lambda will produce an increase in the function of a*lambda.
I thought about setting up an equation as follows
y(lambda*x)=a*lambda*y(x)
In general a simple solution of the functional equation y(ax)-by(x)=0 is y = Kx^(ln(a)/ln(b)). C is arbitrary
Using this solution scheme I am unable to obtain solutions independent upon lambda.
Is the task well posed at all?
Thank you very much
Muzialis