In Problems 21–24, give the order (first, second, third, etc.) of each differential equation, where y represents a function of the variable x . 26. Is y = 8 x + 8 a solution of the differential equation d y d x = y x + 1 ? Explain.
In Problems 21–24, give the order (first, second, third, etc.) of each differential equation, where y represents a function of the variable x . 26. Is y = 8 x + 8 a solution of the differential equation d y d x = y x + 1 ? Explain.
Solution Summary: The author explains that the function y=8x+8 is a solution of the differential equation.
Please help with detailed way to find answer. Thank you
Please help with as much detail as possible. Thanks
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1) a) Answer the following questions by circling TRUE or FALSE (No explanation or
work required).
[1 0
0
i) A = 0 2
6
is invertible.
(TRUE FALSE)
LO -4-12]
ii) We can use the transpose of the cofactor matrix to find the inverse of a matrix.
(TRUE FALSE)
=
iii) If A 2, and A is a 5x5 square matrix, |2A] = 64. (TRUE FALSE)
iv) Every vector space must contain two trivial subspaces. (TRUE FALSE)
v) The set of all integers with standard operations is a vector space.
(TRUE FALSE)
b) Write v as a linear combination of the vectors in the set S, if possible, where
v=(1,-4), and S={(1,2),(1,-1)}.
2) a) Solve the following system of linear equations using Cramer's Rule and check
the correctness of your answer.
4xyz
1
2x + 2y + 3z = 10
5x-2y-2z = -1
b) Find the adjoint of the following matrix A. Then use the adjoint to find the inverse
of A if possible, and check the correctness of your answer.
A
=
c) Determine whether the following points are collinear. Why or why not? If not,…
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