2. Solve the following linear differential equation without formulas. Show all work: multiply the equation by function h and use the product rule to write the left side of the equation as the derivative of the function hy. The final answer can be left as an integral. A. y(-1) = 0. B. y(0) = 0. y' - y = -y=171 t+1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
### Solving Linear Differential Equations Without Formulas

#### Problem Statement:

**2. Solve the following linear differential equation without formulas. Show all work: Multiply the equation by function \( h \) and use the product rule to write the left side of the equation as the derivative of the function \( hy \). The final answer can be left as an integral.**

\[ y' - y = \frac{1}{t + 1} \]

##### Initial Conditions:
A. \( y(-1) = 0 \)

B. \( y(0) = 0 \)
Transcribed Image Text:### Solving Linear Differential Equations Without Formulas #### Problem Statement: **2. Solve the following linear differential equation without formulas. Show all work: Multiply the equation by function \( h \) and use the product rule to write the left side of the equation as the derivative of the function \( hy \). The final answer can be left as an integral.** \[ y' - y = \frac{1}{t + 1} \] ##### Initial Conditions: A. \( y(-1) = 0 \) B. \( y(0) = 0 \)
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