31–34 proceed as in Example 6 to solve the given

Chapter 2, Problem 37E

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QUESTION:

In Problems 37–40 proceed as in Example 6 to solve the given initial-value problem. Use a graphing utility to graph the continuous function y(x).

\(\frac{d y}{d x}+2 y=f(x)\),   y(0)=0,  where

\(f(x)=\left\{\begin{array}{lr}1, & 0 \leq x \leq 3 \\0, & x>3\end{array}\right.\)

Text Transcription:

dy/dx+2y=f(x)

f(x)={1,  0 leq x leq 3 over 0,  x>3

Questions & Answers

QUESTION:

In Problems 37–40 proceed as in Example 6 to solve the given initial-value problem. Use a graphing utility to graph the continuous function y(x).

\(\frac{d y}{d x}+2 y=f(x)\),   y(0)=0,  where

\(f(x)=\left\{\begin{array}{lr}1, & 0 \leq x \leq 3 \\0, & x>3\end{array}\right.\)

Text Transcription:

dy/dx+2y=f(x)

f(x)={1,  0 leq x leq 3 over 0,  x>3

ANSWER:

Step 1 of 8

In this question, we have to solve the initial-value problem.

Given equation is:

Where,

f(x) =

f(x) = {0, x>3}

 

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