Solve the Initial Value Problem for Y as a Function $$\left( x ^ { 2 } + 49 \right) \frac { d y } { d x } = 1 , y ( 7 ) = 0$$

question 337

Multiple Choice

Solve the initial value problem for y as a function of x.
- $$\left( x ^ { 2 } + 49 \right) \frac { d y } { d x } = 1 , y ( 7 ) = 0$$

• A) \(y = \frac { 1 } { 7 } \tan ^ { - 1 } \frac { x } { 7 } - \frac { \pi } { 28 }\)
• B) \(y = \frac { 1 } { 7 } \tan ^ { - 1 } \frac { x } { 7 }\)
• C) \(y = \frac { x } { 7 } - 1\)
• D) \(y = \frac { 1 } { 7 } \sin ^ { - 1 } \frac { x } { 7 } - \frac { \pi } { 14 }\)

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Definitions:

Chromosomes

Structures located within the nucleus of cells, made up of DNA and proteins, that carry genetic information.

Epigenetic Molecules

Chemical substances involved in the epigenetic process, which regulates gene expression without altering the DNA sequence.

Protein Molecules

Large, complex molecules that play many critical roles in the body, built from chains of amino acids essential for structure, function, and regulation of the body's tissues and organs.

Temperaments

Inherent personality traits and dispositions that influence how individuals react to their environment, evident from birth and forming the basis of later personality.