Hello,
I have trouble understanding how to go about solving the function g. All that is known is that
1) the function g is a square function
2)
Could someone please help me understand how to solve these kinds of problems?
Hello,
I have trouble understanding how to go about solving the function g. All that is known is that
1) the function g is a square function
2)
Could someone please help me understand how to solve these kinds of problems?
What do you mean by "square function"? My first thought was a "square wave" (beloved of electrical engineers) but I suspect you mean just a "quadratic function. Okay, the most general quadratic function would be for numbers a, b, and c. Then and the equation you have becomes . Combine "like powers" on the left, set the corresponding coefficients equal and solve for a, b, and c.
Pratically we have a classical first order linear DE...
(1)
... of which we are searching a solution in some sense 'quadratic'. If we proceed in 'standard fashion' we find that...
(2)
... where c is an arbitrary constant. Now may be that for 'quadratic' we intend that it must be ... or may be some else ...
Merry Christmas from Italy