Solve the Differential Equation $4 \frac { d w } { d t } + 5 e ^ { t + w } = 0$

question 47

Multiple Choice

Solve the differential equation. $4 \frac { d w } { d t } + 5 e ^ { t + w } = 0$

• A) \(w = \frac { 5 } { 4 } e ^ { t } - C\)
• B) \(w = \ln \left( \frac { 4 } { 5 } t \right) - t\)
• C) \(w = - \ln \left( \frac { 5 e ^ { z } } { 4 } - C \right)\)
• D) \(w = \ln \left( \frac { 4 } { 5 } + \frac { 4 } { 5 } C e ^ { t } \right) - t\)
• E) \(\text { none of these }\)

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Definitions:

Hardy-Weinberg Theorem

A principle that states allele and genotype frequencies in a population will remain constant from generation to generation in the absence of other evolutionary influences.

Immigration

The action of coming to live permanently in a foreign country.

Hardy-Weinberg Equilibrium

A principle that states the genetic variation in a population will remain constant from one generation to another in the absence of disturbing factors.

Heterozygotes

Individuals having two different alleles of a particular gene, resulting in a mixture of genetic traits.