Find the Solution to the Differential Equation $\frac { d y } { d x } = x \sec y$

question 72

Multiple Choice

Find the solution to the differential equation $\frac { d y } { d x } = x \sec y$ if $y = \frac { \pi } { 6 }$ when x = 1.

• A) \(2 y = \arccos \left( \frac { x ^ { 2 } } { 2 } \right)\)
• B) \(\frac { 3 } { 2 } y = \arctan ( x )\)
• C) \(y - \frac { \pi } { 6 } = \arccos ( x )\)
• D) \(y = \arcsin \left( \frac { x ^ { 2 } } { 2 } \right)\)

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Definitions:

Price Ceiling

A legally established maximum price for goods or services, intended to protect consumers from excessively high prices.

Market Equilibrium

A condition in which market supply equals market demand, and the price of the good or service stabilizes.

Quantity Demanded

The specific amount of a product that consumers are willing to buy at a given price, holding all other factors constant.

Price Ceiling

A government-imposed limit on how high a price can be charged for a good or service.