QUESTION 2 Find a general solution to the following ODE: d df [sing der] + [n(n+1) sing]f =0. dep 0≤ 4≤ Hint: Do a change of variables u-coso using the Chain R O a. f = A P (cosp) + A Q (cosy) n n O b. f =AJ n (cos(p) O c. f = AY (sing) n O d. f = K P (cos(p) n n Oe. A p"+¹(cos) + B Q"+¹(cosa) +1 n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 44E
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QUESTION 2
Find a general solution to the following ODE:
d
df
[sing dr]+[n(n+1) sing]f=0. 0<¢SI
dep
Hint: Do a change of variables u-cosp using the Chain Rule.
O a. f = A P (cosp) + A Q (cosp)
n
n
O b. f =AJ
n
(cos(p)
O c. f = AY
n
n
(sin)
O d. f = K P (cos(p)
n
Oe. A p"+¹(cosa) + B Q"+¹(cosa)
+1
n
Transcribed Image Text:QUESTION 2 Find a general solution to the following ODE: d df [sing dr]+[n(n+1) sing]f=0. 0<¢SI dep Hint: Do a change of variables u-cosp using the Chain Rule. O a. f = A P (cosp) + A Q (cosp) n n O b. f =AJ n (cos(p) O c. f = AY n n (sin) O d. f = K P (cos(p) n Oe. A p"+¹(cosa) + B Q"+¹(cosa) +1 n
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