Solve the Equation Using an Integrating Factor $y ^ { \prime }$

question 101

Multiple Choice

Solve the equation using an integrating factor.
- $y ^ { \prime }$ + $t ^ { 2 }$ y = 4 $t ^ { 2 }$ , t > 0

• A) y = 4x + C \(\mathrm { e } ^ { - \mathrm { t } ^ { 2 } / 2 }\)
• B) y = 4x + C \(e ^ { - t ^ { 3 } / 3 }\)
• C) y = 4 + C \(\mathrm { e } ^ { - \mathrm { t } ^ { 2 } / 2 }\)
• D) y = 4 + C \(e ^ { - t ^ { 3 } / 3 }\)

---

Definitions:

Attribution Retraining

A form of cognitive-behavioral therapy that focuses on changing the way individuals attribute causality to events, aiming to improve their outlook and reactions.

Self-instruction Training

A cognitive-behavioral technique where individuals learn to guide their actions through self-directed instructions.

Task Approach Statements

Statements designed to prompt an individual's engagement and approach toward completing a task or solving a problem.

Global Strategies

Broad-based action plans or policies designed to achieve major goals on a worldwide scale, often related to business, environmental issues, or governance.