A(x) and B(x) are continuous, differentialable, and periodic with period 2\(\displaystyle \pi\) with the following properties:
A(0) = 0
B(0) = 1
A'(x) = B(x)
B'(x) = -A(x)
Derive properties of A and B relating to oddness, evenness, power series, differential equation, etc. What well know functions are A and B?
A(0) = 0
B(0) = 1
A'(x) = B(x)
B'(x) = -A(x)
Derive properties of A and B relating to oddness, evenness, power series, differential equation, etc. What well know functions are A and B?