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:

Proposition

A statement or assertion that expresses a judgement or opinion, which can be either true or false in a logical context.

Categorical Syllogisms

A form of argument in logic consisting of three propositions -- two premise statements and a conclusion -- that are structured to validate or refute a conclusion based on categorical statements.

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Three-Circle

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