Solve the Initial Value Problem for Y as a Function $$x \frac { d y } { d x } = \sqrt { x ^ { 2 } - 9 } , x \geq 3 , y ( 3 ) = 0$$

question 449

Multiple Choice

Solve the initial value problem for y as a function of x.
- $$x \frac { d y } { d x } = \sqrt { x ^ { 2 } - 9 } , x \geq 3 , y ( 3 ) = 0$$

• A) \(y = 3 \ln \frac { x } { 3 }\)
• B) \(y = \frac { \sqrt { x ^ { 2 } - 9 } } { 3 } - x + 3\)
• C) \(y = \frac { \sqrt { x ^ { 2 } - 9 } } { 3 \sec ^ { - 1 } ( x / 3 ) }\)
• D) \(y = 3 \left[ \frac { \sqrt { \mathrm { x } ^ { 2 } - 9 } } { 3 } - \sec ^ { - 1 } \left( \frac { \mathrm { x } } { 3 } \right) \right]\)

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Definitions:

IEC

The International Electrotechnical Commission, a global organization that prepares and publishes international standards for all electrical, electronic, and related technologies.

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A type of electric motor that operates on the principle of electromagnetic induction, where electric current is induced in the rotating device without direct contact.