Solve the Equation Using an Integrating Factor $y ^ { \prime }$

question 101

Multiple Choice

Solve the equation using an integrating factor.
- $y ^ { \prime }$ + $t ^ { 2 }$ y = 4 $t ^ { 2 }$ , t > 0

• A) y = 4x + C \(\mathrm { e } ^ { - \mathrm { t } ^ { 2 } / 2 }\)
• B) y = 4x + C \(e ^ { - t ^ { 3 } / 3 }\)
• C) y = 4 + C \(\mathrm { e } ^ { - \mathrm { t } ^ { 2 } / 2 }\)
• D) y = 4 + C \(e ^ { - t ^ { 3 } / 3 }\)

Develop the ability to calculate equivalent currency exchange amounts using given rates.

Understand and apply the concept of currency appreciation and depreciation.

Analyze the effects of changes in exchange rates on currencies' value.

Calculate the impact of changes in exchange rates on real-world transactions.

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Definitions:

Nervous System

is the complex network of nerves and cells that transmit signals between different parts of the body, facilitating bodily functions and responses.

REM Sleep

Rapid Eye Movement (REM) Sleep is a stage of sleep characterized by quick, random movements of the eyes, dreaming, and increased brain activity.

Sleep Terrors

Intense episodes of fear that occur during deep sleep, often characterized by screaming, kicking, confusion, and no memory of the event upon waking.

Nightmares

Frightening dreams that occur during REM sleep, often in the morning hours.