Solve the Initial Value Problem $$\frac { d y } { d x } = e ^ { 7 x } \cos e ^ { 7 x } , y ( 0 ) = 0$$

question 71

Multiple Choice

Solve the initial value problem.
- $$\frac { d y } { d x } = e ^ { 7 x } \cos e ^ { 7 x } , y ( 0 ) = 0$$

• A) \(y = \frac { 1 } { 7 } \sin \mathrm { e } ^ { 7 \mathrm { x } } - \frac { 1 } { 7 }\)
• B) \(y = \frac { 1 } { 7 } \sin x\)
• C) \(\mathrm { y } = - \frac { 1 } { 7 } \sin \mathrm { e } ^ { 7 \mathrm { x } } + \frac { 1 } { 7 } \sin 1\)
• D) \(y = \frac { 1 } { 7 } \sin \mathrm { e } ^ { 7 x } - \frac { 1 } { 7 } \sin 1\)

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Definitions:

Evaluate

To assess or determine the value, significance, or condition of something through careful examination and analysis.

Evaluate

The process of determining the value or significance of something through analysis or assessment.

Prorata Interest

Interest calculated proportionally, based on the fraction of the period for which the interest is accrued.

Evaluate

To assess or appraise the value, performance, or significance of an object, project, or situation.