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:

Compound

A substance made up of atoms of two or more different elements joined by chemical bonds.

IUPAC Name

The systematic method of naming chemical compounds designated by the International Union of Pure and Applied Chemistry.

Compound

A substance made up of two or more elements that are chemically bonded together, resulting in new properties distinct from the individual elements.

N-Methylacetamide

An organic compound used as a solvent and in the synthesis of other compounds, featuring an acetamide group substituted with a methyl group.