Solve the Initial Value Problem $$\frac { d y } { d t } + 7 y = 3 ; y ( 0 ) = 1$$

question 40

Multiple Choice

Solve the initial value problem.
- $$\frac { d y } { d t } + 7 y = 3 ; y ( 0 ) = 1$$

• A) \(y = \frac { 3 } { 7 } e ^ { - 7 t } + \frac { 4 } { 7 }\)
• B) \(y = \frac { 4 } { 7 } e ^ { 7 t } + \frac { 3 } { 7 }\)
• C) \(y = \frac { 4 } { 7 } e ^ { - 7 t } + \frac { 3 } { 7 }\)
• D) \(y = \frac { 3 } { 7 } e ^ { 7 t } + \frac { 4 } { 7 }\)

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Definitions:

Efficiency Loss

Reductions in combined consumer and producer surplus caused by an underallocation or overallocation of resources to the production of a good or service. Also called deadweight loss.

Deadweight Loss

A loss of economic efficiency that occurs when the equilibrium for a good or service is not achieved or is not achievable.

Actual Production

The quantity of goods or services produced by a firm, industry, or economy within a specific period, factual and not estimated.

Consumer Surplus

The variance between what consumers are ready and capable of spending on a product or service and the actual sum they end up paying.