Numerical Analysis
10th Edition
ISBN: 9781305253667
Author: Richard L. Burden, J. Douglas Faires, Annette M. Burden
Publisher: Cengage Learning
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Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation.
dy
dx
= y(xy4 − 1)
Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Enter your answer using interval notation.)
Find the general solution of the given differential equation.
x2y' + xy = 4
y(x) = ?
Give the largest interval over which the general solution is defined.
Determine whether there are any transient terms in the general solution.
4.7.4. A die was cast n 120 independent times and the following data resulted:
2
Spots Up 1
3 4 5
Frequency b 20 20 20 20
6
40-b
If we use a chi-square test, for what values of b would the hypothesis that the die
is unbiased be rejected at the 0.025 significance level?
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