Multivariable Calculus
8th Edition
ISBN: 9781305266643
Author: James Stewart
Publisher: Cengage Learning
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Question
Chapter 17.2, Problem 18E
To determine
To write: The trail solution for the method of undetermined coefficients.
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2. Use undetermined coefficients method to solve
1
y = 4y1 +
32 - 3e.
= 9y1 + 6y2 + 10e*.
Find the general solution of the equation -y=r*.
a. y= cx*
b. y= ex* +xs
C. x*y =c
d. xty =x+c
4. Find the error/s in the solution by encircling that part/those parts of the error/s in red ink
and write/show the complete correct solution.
Dx (2x+5)
(2x+5)(2x)-(x² −1)2 4x²+10x-2x²+2
(x²-1)²
(x²-1)²
=
=
2x²+10x+2
(x²-1)²
=
5. Find the equation of the tangent line and the normal line to the curve
2
4
f(x) = ²x² x + at the x-intercept closest to the origin. Support your answer
graphically by showing the graph of f(x) and the obtained tangent and normal line.
Show your complete solution and label the graph properly.
Chapter 17 Solutions
Multivariable Calculus
Ch. 17.1 - Solve the differential equation. 1. y" y' 6y = 0Ch. 17.1 - Prob. 2ECh. 17.1 - Prob. 3ECh. 17.1 - Solve the differential equation. 4. y" + y' 12y =...Ch. 17.1 - Prob. 5ECh. 17.1 - Prob. 6ECh. 17.1 - Prob. 7ECh. 17.1 - Prob. 8ECh. 17.1 - Solve the differential equation. 9. y" 4y' + 13y...Ch. 17.1 - Prob. 10E
Ch. 17.1 - Prob. 11ECh. 17.1 - Prob. 12ECh. 17.1 - Prob. 13ECh. 17.1 - Prob. 14ECh. 17.1 - Prob. 15ECh. 17.1 - Prob. 16ECh. 17.1 - Prob. 17ECh. 17.1 - Prob. 18ECh. 17.1 - Solve the initial-value problem. 19. 9y" + 12y' +...Ch. 17.1 - Prob. 20ECh. 17.1 - Prob. 21ECh. 17.1 - Prob. 22ECh. 17.1 - Solve the initial-value problem. 23. y" y' 12y =...Ch. 17.1 - Solve the initial-value problem. 24. 4y" + 4y' +...Ch. 17.1 - Prob. 25ECh. 17.1 - Prob. 26ECh. 17.1 - Prob. 27ECh. 17.1 - Prob. 28ECh. 17.1 - Prob. 29ECh. 17.1 - Prob. 30ECh. 17.1 - Prob. 31ECh. 17.1 - Solve the boundary-value problem, if possible. 32....Ch. 17.1 - Prob. 33ECh. 17.1 - If a, b, and c are all positive constants and y(x)...Ch. 17.2 - Prob. 1ECh. 17.2 - Prob. 2ECh. 17.2 - Prob. 3ECh. 17.2 - Prob. 4ECh. 17.2 - Prob. 5ECh. 17.2 - Prob. 6ECh. 17.2 - Prob. 7ECh. 17.2 - Prob. 8ECh. 17.2 - Prob. 9ECh. 17.2 - Prob. 10ECh. 17.2 - Prob. 11ECh. 17.2 - Prob. 12ECh. 17.2 - Prob. 13ECh. 17.2 - Prob. 14ECh. 17.2 - Prob. 15ECh. 17.2 - Prob. 16ECh. 17.2 - Prob. 17ECh. 17.2 - Prob. 18ECh. 17.2 - Prob. 19ECh. 17.2 - Prob. 20ECh. 17.2 - Solve the differential equation using (a)...Ch. 17.2 - Prob. 22ECh. 17.2 - Prob. 23ECh. 17.2 - Solve the differential equation using the method...Ch. 17.2 - Solve the differential equation using the method...Ch. 17.2 - Solve the differential equation using the method...Ch. 17.2 - Prob. 27ECh. 17.2 - Prob. 28ECh. 17.3 - A spring has natural length 0.75 m and a 5-kg...Ch. 17.3 - Prob. 2ECh. 17.3 - A spring with a mass of 2 kg has damping constant...Ch. 17.3 - Prob. 4ECh. 17.3 - Prob. 5ECh. 17.3 - Prob. 6ECh. 17.3 - Prob. 7ECh. 17.3 - Prob. 8ECh. 17.3 - Suppose a spring has mass m and spring constant k...Ch. 17.3 - Prob. 10ECh. 17.3 - Prob. 11ECh. 17.3 - Prob. 12ECh. 17.3 - Prob. 13ECh. 17.3 - Prob. 14ECh. 17.3 - Prob. 15ECh. 17.3 - The battery in Exercise 14 is replaced by a...Ch. 17.3 - Prob. 17ECh. 17.3 - Prob. 18ECh. 17.4 - Prob. 1ECh. 17.4 - Prob. 2ECh. 17.4 - Prob. 3ECh. 17.4 - Prob. 4ECh. 17.4 - Prob. 5ECh. 17.4 - Prob. 6ECh. 17.4 - Prob. 7ECh. 17.4 - Prob. 8ECh. 17.4 - Prob. 9ECh. 17.4 - Prob. 10ECh. 17.4 - Prob. 11ECh. 17.4 - Prob. 12ECh. 17 - (a) Write the general form of a second-order...Ch. 17 - Prob. 2RCCCh. 17 - (a) Write the general form of a second-order...Ch. 17 - Prob. 4RCCCh. 17 - Prob. 5RCCCh. 17 - Prob. 1RQCh. 17 - Prob. 2RQCh. 17 - Prob. 3RQCh. 17 - Prob. 4RQCh. 17 - Solve the differential equation. 1. 4y" y =0Ch. 17 - Prob. 2RECh. 17 - Prob. 3RECh. 17 - Solve the differential equation. 4. y" + 8y' + 16y...Ch. 17 - Prob. 5RECh. 17 - Prob. 6RECh. 17 - Prob. 7RECh. 17 - Prob. 8RECh. 17 - Prob. 9RECh. 17 - Solve the differential equation. 10....Ch. 17 - Prob. 11RECh. 17 - Solve the initial-value problem. 12. y" 6y' + 25y...Ch. 17 - Solve the initial-value problem. 13. y" 5y' + 4y...Ch. 17 - Prob. 14RECh. 17 - Solve the boundary-value problem, if possible. 15....Ch. 17 - Prob. 16RECh. 17 - Prob. 17RECh. 17 - Prob. 18RECh. 17 - A series circuit contains a resistor with R = 40 ,...Ch. 17 - Prob. 20RECh. 17 - Assume that the earth is a solid sphere of uniform...
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