Solve the Equation Using an Integrating Factor $\mathrm { y } ^ { \prime } + \frac { 4 } { \mathrm { t } } \mathrm { y } = \mathrm { t } ^ { 4 }$

question 88

Multiple Choice

Solve the equation using an integrating factor.
- $\mathrm { y } ^ { \prime } + \frac { 4 } { \mathrm { t } } \mathrm { y } = \mathrm { t } ^ { 4 }$ , t > 0

• A) y = C \(t ^ { 4 }\) + \(t ^ { 5}\)
• B) y = - \(t ^ { - 4 }\) + \(t ^ { 3 }\) + C
• C) y = \(t ^ { - 4 }\) + \(t ^ { 5 }\)
• D) y = C \(t ^ { - 4 }\) + \(\frac { 1 } { 9 }\) \(t ^ { 5 }\)

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Definitions:

Hierarchical Structure

An organizational form that ranks each level in terms of importance or influence.

Choppy Impressions

Fragmented or discontinuous perceptions or understandings of a situation or experience.

Displace

In memory theory, to cause information to be lost from short-term memory by adding new information.

Short-Term Memory

A component of memory where small amounts of information can be temporarily kept for a relatively brief period.