Solve the Initial Value Problem $$\frac { d y } { d t } = e ^ { t } \sin \left( e ^ { t } - 7 \right) , y ( \ln 7 ) = 0$$

question 61

Multiple Choice

Solve the initial value problem.
- $$\frac { d y } { d t } = e ^ { t } \sin \left( e ^ { t } - 7 \right) , y ( \ln 7 ) = 0$$

• A) \(y = \sin \mathrm { e } ^ { \mathrm { t } } - \sin 2\)
• B) \(y = \cos \left( e ^ { t } - 7 \right) - 1\)
• C) \(y = - \cos \left( e ^ { t } - 7 \right) + 1\)
• D) \(y = e ^ { t } \cos \left( e ^ { t } - 7 \right) - 7\)

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Definitions:

Red Bone Marrow

A type of marrow found in certain bones that produces red blood cells, white blood cells, and platelets.

Granulocytes

A type of white blood cell characterized by the presence of granules in their cytoplasm, playing a crucial role in the immune response.

Neutrophils

A type of white blood cell that plays a key role in defending the body against infections by engulfing and destroying pathogens.

Basophils

A type of white blood cell involved in the body's immune response, particularly in allergic reactions and inflammation.