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Chapter 4: Q. 10 (page 364)

Preview of Differential Equations:

Given each of the following equations involving a functionf, find a possible formula for f(x).

f''(t)=cost

Short Answer

Expert verified

The possible formula for the function f''(t)=costis f(t)=-cost.

Step by step solution

01

Step 1. Given Information.

The function:

f''(t)=cost

02

Step 2. Consider the function.

Consider the function,

f(t)=-costf'(t)=ddt(-cost)=sintf''(t)=ddt(sint)=cost

So the function isf(t)=-cost.

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