Solve the Initial Value Problem $y ^ { \prime } + y = 2 e ^ { x } ; y ( 0 ) = 22$

question 63

Multiple Choice

Solve the initial value problem.
- $y ^ { \prime } + y = 2 e ^ { x } ; y ( 0 ) = 22$

• A) \(y = e ^ { x } + 21 e ^ { - x }\)
• B) \(y = 2 e ^ { x } + 19 e ^ { - x }\)
• C) \(y = 22 \mathrm { e } ^ { \mathrm { x } }\)
• D) \(y = 4 e ^ { 2 } + 20 e ^ { - x }\)

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Definitions:

Age 65

Traditionally considered the age of retirement in many countries, marking the transition from middle age to the senior years.

Information Register

The capacity for storing information temporarily in the mind, playing a critical role in decision-making and other cognitive processes.

Memory

The ability of the mind to store and recall information, experiences, images, or sensations.