 4.3.31E: In 29–36 solve the given initialvalue problem.
 4.3.1E: In 1 –14 find the general solution of the given secondorder differ...
 4.3.2E: In 1 –14 find the general solution of the given secondorder differ...
 4.3.3E: In 1 –14 find the general solution of the given secondorder differ...
 4.3.4E: In 1 –14 find the general solution of the given secondorder differ...
 4.3.5E: In 1 –14 find the general solution of the given secondorder differ...
 4.3.6E: In 1 –14 find the general solution of the given secondorder differ...
 4.3.7E: In 1 –14 find the general solution of the given secondorder differ...
 4.3.8E: In 1 –14 find the general solution of the given secondorder differ...
 4.3.9E: In 1 –14 find the general solution of the given secondorder differ...
 4.3.10E: In 1 –14 find the general solution of the given secondorder differ...
 4.3.11E: In 1 –14 find the general solution of the given secondorder differ...
 4.3.12E: In 1 –14 find the general solution of the given secondorder differ...
 4.3.13E: In 1 –14 find the general solution of the given secondorder differ...
 4.3.14E: In 1 –14 find the general solution of the given secondorder differ...
 4.3.15E: In 15–28 find the general solution of the given higherorder differ...
 4.3.16E: In 15–28 find the general solution of the given higherorder differ...
 4.3.17E: In 15–28 find the general solution of the given higherorder differ...
 4.3.18E: In 15–28 find the general solution of the given higherorder differ...
 4.3.19E: In 15–28 find the general solution of the given higherorder differ...
 4.3.20E: In 15–28 find the general solution of the given higherorder differ...
 4.3.21E: In 15–28 find the general solution of the given higherorder differ...
 4.3.22E: In 15–28 find the general solution of the given higherorder differ...
 4.3.23E: In 15–28 find the general solution of the given higherorder differ...
 4.3.24E: In 15–28 find the general solution of the given higherorder differ...
 4.3.25E: In 15–28 find the general solution of the given higherorder differ...
 4.3.26E: In 15–28 find the general solution of the given higherorder differ...
 4.3.27E: In 15–28 find the general solution of the given higherorder differ...
 4.3.28E: In 15–28 find the general solution of the given higherorder differ...
 4.3.29E: In 29–36 solve the given initialvalue problem.
 4.3.30E: In 29–36 solve the given initialvalue problem.
 4.3.32E: In 29–36 solve the given initialvalue problem.
 4.3.33E: In 29–36 solve the given initialvalue problem.
 4.3.34E: In 29–36 solve the given initialvalue problem.
 4.3.35E: In 29–36 solve the given initialvalue problem.
 4.3.36E: In 29–36 solve the given initialvalue problem.
 4.3.37E: In 37–40 solve the given boundaryvalue problem.
 4.3.38E: In 37–40 solve the given boundaryvalue problem.
 4.3.39E: In 37–40 solve the given boundaryvalue problem.
 4.3.40E: In 37–40 solve the given boundaryvalue problem.
 4.3.41E: In 41 and 42 solve the given problem first using the form of the ge...
 4.3.42E: In 41 and 42 solve the given problem first using the form of the ge...
 4.3.43E: In 43 –48 each figure represents the graph of a particular solution...
 4.3.44E: In 43 –48 each figure represents the graph of a particular solution...
 4.3.45E: In 43 –48 each figure represents the graph of a particular solution...
 4.3.46E: In 43 –48 each figure represents the graph of a particular solution...
 4.3.47E: In 43 –48 each figure represents the graph of a particular solution...
 4.3.48E: In 43 –48 each figure represents the graph of a particular solution...
 4.3.49E: In a homogeneous linear differential equation with constant coeffic...
 4.3.50E: In a homogeneous linear differential equation with constant coeffic...
 4.3.51E: In a homogeneous linear differential equation with constant coeffic...
 4.3.52E: In a homogeneous linear differential equation with constant coeffic...
 4.3.53E: In a homogeneous linear differential equation with constant coeffic...
 4.3.54E: In a homogeneous linear differential equation with constant coeffic...
 4.3.55E: In a homogeneous linear differential equation with constant coeffic...
 4.3.56E: In a homogeneous linear differential equation with constant coeffic...
 4.3.57E: In a homogeneous linear differential equation with constant coeffic...
 4.3.58E: In a homogeneous linear differential equation with constant coeffic...
 4.3.59E: The roots of a cubic auxiliary equation are m1 = 4 and m2= m3= ?5. ...
 4.3.60E: Two roots of a cubic auxiliary equation with real coefficients are ...
 4.3.61E: Find the general solution of if it is known that y1 = e4x cos x is...
 4.3.62E: To solve y(4) + y = 0, we must find the roots of m4 + 1 = 0. This i...
 4.3.63E: Verify that is a particular solution of y(4) ? y = 0. Reconcile thi...
 4.3.64E: Consider the boundaryvalue problem Discuss: Is it possible to dete...
 4.3.65E: In 55– 58 use a computer either as an aid in solving the auxiliary ...
 4.3.66E: In 55– 58 use a computer either as an aid in solving the auxiliary ...
 4.3.67E: In 55– 58 use a computer either as an aid in solving the auxiliary ...
 4.3.68E: In 55– 58 use a computer either as an aid in solving the auxiliary ...
 4.3.69E: In 59 and 60 use a CAS as an aid in solving the auxiliary equation....
 4.3.70E: In 59 and 60 use a CAS as an aid in solving the auxiliary equation....
Solutions for Chapter 4.3: A First Course in Differential Equations with Modeling Applications 10th Edition
Full solutions for A First Course in Differential Equations with Modeling Applications  10th Edition
ISBN: 9781111827052
Solutions for Chapter 4.3
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052. Chapter 4.3 includes 70 full stepbystep solutions. Since 70 problems in chapter 4.3 have been answered, more than 87086 students have viewed full stepbystep solutions from this chapter.

Deductive reasoning
The process of utilizing general information to prove a specific hypothesis

End behavior asymptote of a rational function
A polynomial that the function approaches as.

Focal axis
The line through the focus and perpendicular to the directrix of a conic.

Focal width of a parabola
The length of the chord through the focus and perpendicular to the axis.

Frequency table (in statistics)
A table showing frequencies.

Identity function
The function ƒ(x) = x.

Inverse relation (of the relation R)
A relation that consists of all ordered pairs b, a for which a, b belongs to R.

Leading term
See Polynomial function in x.

Leibniz notation
The notation dy/dx for the derivative of ƒ.

Modified boxplot
A boxplot with the outliers removed.

Powerreducing identity
A trigonometric identity that reduces the power to which the trigonometric functions are raised.

Sequence of partial sums
The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

Slant line
A line that is neither horizontal nor vertical

Speed
The magnitude of the velocity vector, given by distance/time.

Standard form: equation of a circle
(x  h)2 + (y  k2) = r 2

Standard unit vectors
In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

Vertical translation
A shift of a graph up or down.

Ymin
The yvalue of the bottom of the viewing window.

yzplane
The points (0, y, z) in Cartesian space.

zcoordinate
The directed distance from the xyplane to a point in space, or the third number in an ordered triple.