Solve the Differential Equation $\frac { d y } { d x } = e ^ { 8 x - 8 y }$

question 112

Multiple Choice

Solve the differential equation.
- $\frac { d y } { d x } = e ^ { 8 x - 8 y }$

• A) \(y = 8 e ^ { 8 x } + C\)
• B) \(y = \ln \left( e ^ { 8 x } + C \right)\)
• C) \(y = \frac { 1 } { 8 } \ln \left( e ^ { 8 x } + C \right)\)
• D) \(y = 8 \ln \left( e ^ { 8 x } + C \right)\)

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Definitions:

Skewed Distribution

A representation of data that is not symmetric and where one tail of the distribution is longer or fatter than the other.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values in a data set differ from the mean.

Dinner Cost

The total expense associated with a evening meal, including food, beverages, taxes, and tips.

Normal Distribution

A probability distribution that is symmetric around its mean, showing that data near the mean are more frequent in occurrence than data far from the mean.