Solve the Initial Value Problem $$\frac { d y } { d x } = \sin ( 4 x + \pi ) , y ( 0 ) = 2$$

question 2

Multiple Choice

Solve the initial value problem.
- $$\frac { d y } { d x } = \sin ( 4 x + \pi ) , y ( 0 ) = 2$$

• A) \(y = - \cos ( 4 x + \pi ) + 1\)
• B) \(\mathrm { y } = - \frac { 1 } { 4 } \cos ( 4 \mathrm { x } + \pi ) + \frac { 7 } { 4 }\)
• C) \(y = 4 \cos ( 4 x + \pi ) + 2\)
• D) \(y = - \frac { 1 } { 4 } \cos ( 4 x + \pi ) + 2\)

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Definitions:

Cholesterol

A waxy, fat-like substance found in all cells of the body, necessary for the formation of cell membranes, certain hormones, and vitamin D.

Steroids

Organic compounds with four rings arranged in a specific molecular configuration, important in biology, chemistry, and medicine.

Nucleic Acid Derivatives

Molecules derived from nucleic acids, such as nucleotides, which play essential roles in genetic information storage and energy transfer.

Polypeptides

Chains of amino acids linked by peptide bonds, serving as building blocks for proteins.