Using the Ratio Test In Exercises 17-38, use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the convergence or divergence of the series using other methods. ∑ n = 0 ∞ ( − 1 ) n 2 4 n ( 2 n + 1 ) !
Using the Ratio Test In Exercises 17-38, use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the convergence or divergence of the series using other methods. ∑ n = 0 ∞ ( − 1 ) n 2 4 n ( 2 n + 1 ) !
Solution Summary: The author explains that the given series is convergent or divergent using a ratio test.
Using the Ratio Test In Exercises 17-38, use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the convergence or divergence of the series using other methods.
Good Day,
Kindly assist with the following query.
Regards,
Example 1
Solve the following differential equations:
dy
dx
ex
= 3x²-6x+5
dy
dx
= 4,
y(0) = 3
x
dy
dx
33
= 5x3 +4
Prof. Robdera
5
-10:54 1x ㅁ +
21. First-Order Constant-Coefficient Equations.
a. Substituting y = ert, find the auxiliary equation for the first-order linear
equation
ay+by = 0,
where a and b are constants with a 0.
b. Use the result of part (a) to find the general solution.
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