Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Differential Equations
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Please give detailed answer. Thanks. 1 dx dy. x(1+ y?) 5. Compute the value of the series n=1 n+1
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Transcribed Image Text:Please give detailed answer. Thanks. 1 dx dy. x(1+ y?) 5. Compute the value of the series n=1 n+1
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To find the value of given series first we solve the integration.

 

       ∑n=1∞ ∫1n+11n∫1e1x(1+y2)dx dy       =  ∑n=1∞ ∫1n+11n∫1e1xdx 1(1+y2)dySince we know that ∫1e1xdx = ln x , then           = ∑n=1∞ ∫1n+11n[ ln x ]1e 1(1+y2)dy

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