Solve the Initial Value Problem $$\theta ^ { 2 } \frac { d y } { d \theta } - 3 \theta y = \theta ^ { 5 } \sec \theta \tan \theta ; \theta > 0 , y ( \pi ) = 0$$

question 38

Multiple Choice

Solve the initial value problem.
- $$\theta ^ { 2 } \frac { d y } { d \theta } - 3 \theta y = \theta ^ { 5 } \sec \theta \tan \theta ; \theta > 0 , y ( \pi ) = 0$$

• A) \(\mathrm { y } = \frac { \theta ^ { 3 } } { \cos \theta } + \theta ^ { 3 } , \theta > 0\)
• B) \(y = - \frac { \theta ^ { 3 } } { \cos \theta } - \theta ^ { 3 } , \theta > 0\)
• C) \(y = - \frac { \theta ^ { 2 } } { \cos \theta } - \theta ^ { 2 } , \theta > 0\)
• D) \(y = \frac { \theta ^ { 2 } } { \cos \theta } + \theta ^ { 2 } , \theta > 0\)

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Definitions:

Periodic

Relating to or occurring at regular intervals; in accounting, it may refer to methods or adjustments made at regular intervals, such as the Periodic Inventory Method.

Inventory Method

An accounting approach used to value inventory, including procedures like First-In, First-Out (FIFO) or Last-In, First-Out (LIFO).

Perpetual

An inventory system where transactions are recorded in real-time, immediately affecting the inventory account, providing an ongoing record of inventory on hand.

Unearned Rent Revenue

Income received by a company for rent that has been paid in advance by tenants but not yet earned, considered a liability until the rental period occurs.