   Chapter 6, Problem 23RE

Chapter
Section
Textbook Problem

Writing and Solving a Differential Equation In Exercises 23 and 24, write and find the general solution of the differential equation that models the verbal statement.The rate of change of y with respect to t is inversely proportional to the cube of t.

To determine

To calculate: The general solution of differential equation that models the given statement.

Explanation

Given:

The rate of change of y with respect to t is inversely proportional to the cube of t.

Formula used:

xndx=xn+1n+1+c

Calculation:

dydt1t3dydt=k1t3

Above equation can be written as:

dy=kt3dt

Integrate each side

dy=kt3

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