Question

From Problem ( 12.9, J_{1 /2}(x)=sqrt{2 pi x} sin x ). Use ( (15.2) ) to obtain ( J_{3 /2}(x) ) and ( J_{5 /2}(x) ). Substitute your results for the ( J ) 's into (17.4) to verify

Answer 1

To obtain J3/2(x) and J5/2(x) using the given information, we substitute the values of J1/2(x) and (x). We then substitute the derived values into equation (17.4) to verify the result.

Step-by-step explanation:

To obtain the values of J3/2(x) and J5/2(x) using the given information, we can use the provided formula (15.2) and substitute the values of J1/2(x) and (x).

Substituting the values, we get J3/2(x) = sqrt((2pi * x)/x) * sin(x) and J5/2(x) = sqrt((2pi * x)/x) * cos(x).

Next, we substitute these values of J3/2(x) and J5/2(x) into equation (17.4) to verify the result.