 9.5.1: Which of the following are firstorder linear equations? (a) y + x2...
 9.5.2: If (x) is an integrating factor for y + A(x)y = B(x), then (x) is e...
 9.5.3: For what function P is the integrating factor (x) equal to x?
 9.5.4: For what function P is the integrating factor (x) equal to ex ?
 9.5.5: In Exercises 518, find the general solution of the firstorder line...
 9.5.6: In Exercises 518, find the general solution of the firstorder line...
 9.5.7: In Exercises 518, find the general solution of the firstorder line...
 9.5.8: In Exercises 518, find the general solution of the firstorder line...
 9.5.9: In Exercises 518, find the general solution of the firstorder line...
 9.5.10: In Exercises 518, find the general solution of the firstorder line...
 9.5.11: In Exercises 518, find the general solution of the firstorder line...
 9.5.12: In Exercises 518, find the general solution of the firstorder line...
 9.5.13: In Exercises 518, find the general solution of the firstorder line...
 9.5.14: In Exercises 518, find the general solution of the firstorder line...
 9.5.15: In Exercises 518, find the general solution of the firstorder line...
 9.5.16: In Exercises 518, find the general solution of the firstorder line...
 9.5.17: In Exercises 518, find the general solution of the firstorder line...
 9.5.18: In Exercises 518, find the general solution of the firstorder line...
 9.5.19: In Exercises 1926, solve the Initial Value Problem. 19. y + 3y = e2...
 9.5.20: In Exercises 1926, solve the Initial Value Problem.xy + y = ex , y(...
 9.5.21: In Exercises 1926, solve the Initial Value Problem.y + 1 x + 1 y = ...
 9.5.22: In Exercises 1926, solve the Initial Value Problem.y + y = sin x, y...
 9.5.23: In Exercises 1926, solve the Initial Value Problem.(sin x)y = (cos ...
 9.5.24: In Exercises 1926, solve the Initial Value Problem.y + (sec t)y = s...
 9.5.25: In Exercises 1926, solve the Initial Value Problem.y + (tanh x)y = ...
 9.5.26: In Exercises 1926, solve the Initial Value Problem.y + x 1 + x2 y =...
 9.5.27: Find the general solution of y + ny = emx for all m, n. Note: The c...
 9.5.28: Find the general solution of y + ny = cos x for all n.
 9.5.29: In Exercises 2932, a 1000liter (L) tank contains 500 Lof water wit...
 9.5.30: Find the salt concentration when the tank overflows, assuming that ...
 9.5.31: Find the limiting salt concentration as t , assuming that Rout = 80...
 9.5.32: Assuming that Rout = 120 L/min, find y(t). Then calculate the tank ...
 9.5.33: Water flows into a tank at the variable rate of Rin = 20/(1 + t) ga...
 9.5.34: A stream feeds into a lake at a rate of 1000 m3/day. The stream is ...
 9.5.35: In Exercises 3538, consider a series circuit (Figure 4) consisting ...
 9.5.36: In Exercises 3538, consider a series circuit (Figure 4) consisting ...
 9.5.37: In Exercises 3538, consider a series circuit (Figure 4) consisting ...
 9.5.38: In Exercises 3538, consider a series circuit (Figure 4) consisting ...
 9.5.39: Tank 1 in Figure 5 is filled with V1 liters of water containing blu...
 9.5.40: Continuing with the previous exercise, let Tank 2 be another tank f...
 9.5.41: Let a, b, r be constants. Show that y = Cekt + a + bk k sin rt r co...
 9.5.42: Assume that the outside temperature varies as T (t) = 15 + 5 sin(t/...
 9.5.43: Let (x) be an integrating factor for y + P (x)y = Q(x). The differe...
 9.5.44: Use the Fundamental Theorem of Calculus and the Product Rule to ver...
 9.5.45: Transient Currents Suppose the circuit described by Eq. (9) is driv...
Solutions for Chapter 9.5: FirstOrder Linear Equations
Full solutions for Calculus: Early Transcendentals  3rd Edition
ISBN: 9781464114885
Solutions for Chapter 9.5: FirstOrder Linear Equations
Get Full SolutionsChapter 9.5: FirstOrder Linear Equations includes 45 full stepbystep solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781464114885. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Since 45 problems in chapter 9.5: FirstOrder Linear Equations have been answered, more than 44745 students have viewed full stepbystep solutions from this chapter.

Algebraic model
An equation that relates variable quantities associated with phenomena being studied

Annuity
A sequence of equal periodic payments.

Circle
A set of points in a plane equally distant from a fixed point called the center

Coordinate plane
See Cartesian coordinate system.

Direction of an arrow
The angle the arrow makes with the positive xaxis

Equally likely outcomes
Outcomes of an experiment that have the same probability of occurring.

Even function
A function whose graph is symmetric about the yaxis for all x in the domain of ƒ.

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

Interval notation
Notation used to specify intervals, pp. 4, 5.

Inverse properties
a + 1a2 = 0, a # 1a

Inverse secant function
The function y = sec1 x

Linear equation in x
An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

Observational study
A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

Perpendicular lines
Two lines that are at right angles to each other

Random numbers
Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

Slant asymptote
An end behavior asymptote that is a slant line

Terminal side of an angle
See Angle.

Union of two sets A and B
The set of all elements that belong to A or B or both.

Vertex of an angle
See Angle.