Verify that the formulas for the Bessel functions J1/2(t),Y1/2(t) do indeed solve equation (16).
Step 1 of 5</p>
In this problem we have to verify that the formulas for the bessel functions solve the given equation.
Step 2 of 5</p>
Verifying the first formula
Neglecting constant we can consider the formula as
Differentiating with respect to t, we get
Bessel equation of order
Step 3 of 5</p>
Substituting the formula in the equation we get
Thus is the solution.