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Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
Publisher: Cengage Learning
ISBN: 9781337275347
BuyFind

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
Publisher: Cengage Learning
ISBN: 9781337275347

Solutions

Chapter
Section
Chapter 6.2, Problem 4E
Textbook Problem

Solving a Differential Equation In Exercises 3-12, find the general solution of the differential equation.

d y d x = 5 8 x

Expert Solution
To determine

To calculate: The differential equation dydx=58x and finding a general solution.

Explanation of Solution

Formula used:

We can use, Integration of x: xdx=x22+C

We have Integration of any constant k given by, kdx=kx+C

Calculation:

The given differential equation is:dydx=58x

By multiplying both the sides by dx, we get:dydx×dx=(58x)dxdy=(58x)d

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Chapter 6 Solutions

Calculus (MindTap Course List)
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Ch. 6.1 - Verifying a Particular Solution In Exercises 1114,...Ch. 6.1 - Verifying a Particular Solution In Exercises 1114,...Ch. 6.1 - Verifying a Particular Solution In Exercises 1114,...Ch. 6.1 - Verifying a Particular Solution In Exercises 1114,...Ch. 6.1 - Determining a Solution In Exercises 1522,...Ch. 6.1 - Determining a Solution In Exercises 1522,...Ch. 6.1 - Determining a Solution In Exercises 1522,...Ch. 6.1 - Determining a Solution In Exercises 1522,...Ch. 6.1 - Determining a Solution In Exercises 1522,...Ch. 6.1 - Determining a Solution In Exercises 1522,...Ch. 6.1 - Determining a Solution In Exercises 1522,...Ch. 6.1 - Determining a Solution In Exercises 1522,...Ch. 6.1 - Determining a Solution: In Exercises 23-30,...Ch. 6.1 - Determining a Solution: In Exercises 23-30,...Ch. 6.1 - Determining a Solution: In Exercises 23-30,...Ch. 6.1 - Determining a Solution: In Exercises 23-30,...Ch. 6.1 - Determining a Solution: In Exercises 23-30,...Ch. 6.1 - Determining a Solution: In Exercises 23-30,...Ch. 6.1 - Determining a Solution: In Exercises 23-30,...Ch. 6.1 - Determining a Solution: In Exercises 23-30,...Ch. 6.1 - Finding a Particular Solution In Exercises 31-34,...Ch. 6.1 - Finding a Particular Solution In Exercises 31-34,...Ch. 6.1 - Finding a Particular Solution In Exercises 31-34,...Ch. 6.1 - Finding a Particular Solution In Exercises 31-34,...Ch. 6.1 - Graphs of Particular Solutions In Exercises 35 and...Ch. 6.1 - Graphs of Particular Solutions In Exercises 35 and...Ch. 6.1 - Finding a Particular Solution In Exercises 3742,...Ch. 6.1 - Finding a Particular Solution In Exercises 3742,...Ch. 6.1 - Finding a Particular Solution In Exercises 3742,...Ch. 6.1 - Finding a Particular Solution In Exercises 37-42,...Ch. 6.1 - Question: Verify that the general solution...Ch. 6.1 - Finding a Particular Solution In Exercises 37-42,...Ch. 6.1 - Finding a General Solution In Exercises 43-52, use...Ch. 6.1 - Finding a General Solution In Exercises 43-52, use...Ch. 6.1 - Finding a General Solution In Exercises 43-52, use...Ch. 6.1 - Finding a General Solution In Exercises 43-52, use...Ch. 6.1 - Finding a General Solution In Exercises 43-52, use...Ch. 6.1 - Finding a General Solution In Exercises 43-52, use...Ch. 6.1 - Finding a General Solution In Exercises 43-52, use...Ch. 6.1 - Finding a General Solution In Exercises 43-52, use...Ch. 6.1 - Finding a General Solution In Exercises 43-52, use...Ch. 6.1 - Finding a General Solution In Exercises 43-52, use...Ch. 6.1 - Slope Field In Exercises 5356, a differential...Ch. 6.1 - Slope Field In Exercises 5356, a differential...Ch. 6.1 - Slope Field In Exercises 5356, a differential...Ch. 6.1 - Slope Field In Exercises 5356, a differential...Ch. 6.1 - Matching In Exercises 5760, match the differential...Ch. 6.1 - Matching In Exercises 5760, match the differential...Ch. 6.1 - Matching In Exercises 5760, match the differential...Ch. 6.1 - Matching In Exercises 5760, match the differential...Ch. 6.1 - Slope Field In Exercises 6164, (a) sketch the...Ch. 6.1 - Slope Field In Exercises 6164, (a) sketch the...Ch. 6.1 - Slope Field In Exercises 6164, (a) sketch the...Ch. 6.1 - Slope Field In Exercises 6164, (a) sketch the...Ch. 6.1 - Slope Field Use the slope field for the...Ch. 6.1 - Slope Field Use the slope field for the...Ch. 6.1 - Slope Field In Exercises 6772, use a computer...Ch. 6.1 - Slope Field In Exercises 6772, use a computer...Ch. 6.1 - Slope Field In Exercises 6772, use a computer...Ch. 6.1 - Slope Field In Exercises 6772, use a computer...Ch. 6.1 - Slope Field In Exercises 6772, use a computer...Ch. 6.1 - Slope Field In Exercises 6772, use a computer...Ch. 6.1 - Euler's Method In Exercises 73-78, use Eulers...Ch. 6.1 - Euler's Method In Exercises 73-78, use Eulers...Ch. 6.1 - Euler's Method In Exercises 73-78, use Eulers...Ch. 6.1 - Euler's Method In Exercises 73-78, use Eulers...Ch. 6.1 - Euler's Method In Exercises 73-78, use Eulers...Ch. 6.1 - Euler's Method In Exercises 73-78, use Eulers...Ch. 6.1 - Euler's Method In Exercises 79-81, complete the...Ch. 6.1 - Euler's Method In Exercises 79-81, complete the...Ch. 6.1 - Euler's Method In Exercises 79-81, complete the...Ch. 6.1 - Eulers Method Compare the values of the...Ch. 6.1 - Temperature At time t=0 minutes, the temperature...Ch. 6.1 - HOW DO YOU SEE IT? 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