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
To find the first order differential equation whose solution is
Given:
The function
Calculation:
Differentiating given function with respect to t, we get
Hence, the first order differential equation with solution