Solve the Equation Using an Integrating Factor $y ^ { \prime } - 3 y = 6$

question 17

Multiple Choice

Solve the equation using an integrating factor.
- $y ^ { \prime } - 3 y = 6$ , t > 0

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

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Definitions:

Placebo Effects

The beneficial effects in a patient following a treatment that arise from the patient's expectations rather than from the treatment itself.

Self-Report Bias

A type of bias occurring when respondents to a survey or study may not accurately or truthfully respond, affecting the validity of the data.

Non-Representative Sample

A sample that does not accurately reflect the broader population, potentially leading to biased results in research.

Control Group

In experimental research, the group that does not receive the treatment or intervention, serving as a comparison for measuring the effect of the treatment.