Math 311-102 Assignments - Summer I, 2007
Assignment 20 - Not to be turned in.
- Read the Notes
on Special Functions through section 1.2 (pg. 5).
- Do the following problems.
- Section 9.5 (pgs. 447-449): 7, 9
- Verify Stokes's Theorem in case F= 2yi + 3xj
− z3k and S is the upper hemisphere of
x2 + y2 + z2 = 4, which has the
circle x2 + y2 = 4, z = 0, as a boundary. Use
the normal with positive z component.
- Use the method of Frobenius in the following differential
equations to find the indicial equation, the recurrence (recursion) relation,
and the the first few terms of the series solution for the largest
root of the indicial equation. (You are not being asked to
solve the recurrence relation.)
- x2y''+xy' +(x2 − 1)y = 0
- 9x2y'' +(9x2+2)y = 0
- 25x2y''+25xy'+(x4-1)y=0
Updated 6/28/07 (fjn).