Finding a Particular Solution In Exercises 37-44, find the particular solution of the differential equation that satisfies the initial condition(s). f " ( x ) = sin x , f ' ( 0 ) = 1 , f ( 0 ) = 6
Finding a Particular Solution In Exercises 37-44, find the particular solution of the differential equation that satisfies the initial condition(s). f " ( x ) = sin x , f ' ( 0 ) = 1 , f ( 0 ) = 6
Solution Summary: The author calculates the differential equation f′′(x)=mathrmsinx that satisfy the initial condition.
Finding a Particular Solution In Exercises 37-44, find the particular solution of the differential equation that satisfies the initial condition(s).
f
"
(
x
)
=
sin
x
,
f
'
(
0
)
=
1
,
f
(
0
)
=
6
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Chapter 5 Solutions
Bundle: Calculus: Early Transcendental Functions, Loose-leaf Version, 6th + WebAssign Printed Access Card for Larson/Edwards' Calculus: Early Transcendental Functions, 6th Edition, Multi-Term
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