Epin Differential Equ 4e
Epin Differential Equ 4e
4th Edition
ISBN: 9780495562009
Author: Blanchard Devaney Gl
Publisher: Cengage Learning
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Chapter 1, Problem 1RE

Short answer exercises: Exercises 1-10 focus on the basic ideas, definitions, and vocabulary of this chapter. Their answers arc short (a single sentence or drawing), andyou should be able to do them with little or no computation. However, they vary indifficulty, so think carefully before you answer.
1. Give an example of a first-order differential equation that has the function y ( t ) = 2 t + 3 as a solution.

Expert Solution & Answer
Check Mark
To determine

To find the first order differential equation whose solution is y(t)=2t+3 .

Answer to Problem 1RE

  dydt2=0

Explanation of Solution

Given:

The function y(t)=2t+3 as a solution of a differential equation.

Calculation:

Differentiating given function with respect to t, we get

  dydt=2(1)+0dydt=2dydt2=0

Hence, the first order differential equation with solution y(t)=2t+3 is dydt2=0 .

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Chapter 1 Solutions

Epin Differential Equ 4e

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Prob. 53RECh. 1 - A 1000-galIon tank initially contains a mixture of...
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