The Solution Of $y ^ { \prime } + 6 y + 9 \int _ { 0 } ^ { t } y ( \tau ) d \tau = 1 , y ( 0 ) = 1$

question 15

Multiple Choice

The solution of $y ^ { \prime } + 6 y + 9 \int _ { 0 } ^ { t } y ( \tau ) d \tau = 1 , y ( 0 ) = 1$ is

• A) \(e ^ { 3 t } - 2 t e ^ { 3 t }\)
• B) \(e ^ { 3 t } + 2 t e ^ { 3 t }\)
• C) \(- e ^ { - 3 t } - 2 t e ^ { - 3 t }\)
• D) \(e ^ { - 3 t } - 2 t e ^ { - 3 t }\)
• E) \(e ^ { - 3 t } + 2 t e ^ { - 3 t }\)

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Definitions:

Dissolution

The process of formally ending or dissolving a legal entity, such as a corporation, partnership, or marriage.

LLP

Stands for Limited Liability Partnership, a legal structure that offers some of the benefits of a partnership while limiting personal liability of the partners.

Asset Distribution

The process of allocating assets, either during a person’s life or after death, according to the person's wishes or legal agreements.

Profitable

Describes a situation, venture, or entity that generates more revenue than the expenses incurred, resulting in financial gain.