The Solution of the Differential Equation of the Previous Problem $\theta = c e ^ { 2 t }$

question 5

Multiple Choice

The solution of the differential equation of the previous problem is

• A) \(\theta = c e ^ { 2 t }\)
• B) \(\theta = c e ^ { - 2 t }\)
• C) \(\theta = c e ^ { - t / 2 }\)
• D) \(\theta = c _ { 1 } \cos ( 2 t ) + c _ { 2 } \sin ( 2 t )\)
• E) \(\theta = c _ { 1 } \cos ( \sqrt { 2 } t ) + c _ { 2 } \sin ( \sqrt { 2 } t )\)

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Definitions:

Truth Table

A mathematical table used in logic to determine whether a compound statement is true or false based on the truth values of its components.

Atomic Sentences

Simple sentences that cannot be broken down into smaller sentences and still express a complete thought, often used in logic and philosophy.

Truth Table

A table showing the truth value of a compound statement for every possible combination of truth values of its components.

Atomic Sentences

The simplest type of statements that cannot be broken down into parts that are themselves statements.