Chapter 7.1, Problem 60E

To determine

To calculate: The solution of the initial value problem.

Answer to Problem 60E

Option c is correct answer.

Explanation of Solution

Given information: derivative $\frac{dy}{dx}=-x\text{ and }y\left(-1\right)=1$

And graphs

Calculation: derivative $\frac{dy}{dx}=-x\text{ and }y\left(-1\right)=1$

  $\frac{dy}{dx}=-x\frac{dy}{dx}<0\text{ when }x>0$

and $\frac{dy}{dx}>0\text{ when }x>0$

Graph (c) has $\frac{dy}{dx}>0\text{ for }x>0$

and $\frac{dy}{dx}<0\text{ for }x<0$ .