Solve the Initial Value Problem $$( x + 3 ) \frac { d y } { d x } - 2 \left( x ^ { 2 } + 3 x \right) y = \frac { e ^ { x ^ { 2 } } } { x + 3 } ; x > - 3 , y ( 0 ) = 0$$

question 85

Multiple Choice

Solve the initial value problem.
- $$( x + 3 ) \frac { d y } { d x } - 2 \left( x ^ { 2 } + 3 x \right) y = \frac { e ^ { x ^ { 2 } } } { x + 3 } ; x > - 3 , y ( 0 ) = 0$$

• A) \(y = - e ^ {- x ^ { 2 } } \left( \frac { x } { 3 x + 9 } \right) , x > - 3\)
• B) \(y = e ^ { x ^ { 2 } } \left( \frac { x } { 3 x + 9 } \right) , x > - 3\)
• C) \(y = - e ^ { x 2 } \left( \frac { x } { 3 x + 9 } \right) , x > - 3\)
• D) \(y = e ^ { - x ^ { 2 } } \left( \frac { x } { 3 x + 9 } \right) , x > - 3\)

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Definitions:

Bondholders

Individuals or institutions that hold the debt securities issued by corporations or governments, thus lending them money in exchange for periodic interest payments and the return of principal at maturity.

Stock Investment

The act of spending money to purchase shares in a company, aiming to earn dividends or sell the shares at a higher price for profit.

Strike Price

The price at which an optioned stock can be bought or sold. Also called the exercise price or striking price.

Intrinsic Value

The actual worth of an asset, determined through fundamental analysis without regard to its market value.