The Solution Of $y ^ { \prime \prime } - 6 y ^ { \prime } + 8 y = 0$

question 32

Multiple Choice

The solution of $y ^ { \prime \prime } - 6 y ^ { \prime } + 8 y = 0$ is

• A) \(y = c _ { 1 } e ^ { - 2 x } + c _ { 2 } e ^ { - 4 x }\)
• B) \(y = c _ { 1 } e ^ { 2 x } + c _ { 2 } x e ^ { 4 x }\)
• C) \(y = c _ { 1 } e ^ { - 2 x } + c _ { 2 } x e ^ { - 4 x }\)
• D) \(y = c _ { 1 } e ^ { 2 x } + c _ { 2 } e ^ { 4 x }\)
• E) \(y = c _ { 1 } e ^ { 2 x } + c _ { 2 } e ^ { - 4 x }\)

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Definitions:

Drug

Any chemical substance that affects the structure or function of the body, used for medicinal purposes to diagnose, cure, treat, or prevent disease.

Transdermal Patches

Medication delivery systems that release drugs through the skin directly into the bloodstream for systemic treatment.

Adhesive

A substance used for sticking objects or materials together; glue.

Time-Released

Refers to a method of delivering a substance (such as medication) in a manner that allows it to be released slowly and steadily into the bloodstream over time.