CBSE Class 11-science Answered
16dx2/dt2+ 25x = 0
![question image](http://images.topperlearning.com/topper/new-ate/top_mob16713683902103339661IMG20221218182758.jpg)
Asked by adityajaiswal80551 | 18 Dec, 2022, 18:29: PM
Given differential equation
![begin mathsize 14px style 16 space fraction numerator d squared x over denominator d t squared end fraction plus 25 x space equals space 0 end style](https://images.topperlearning.com/topper/tinymce/cache/b98aa19ee5299629239632a1b43229dd.png)
characterstic equation is , 16 r2 + 25 r = 0 or r2 +(25/16) r = 0
Roots of characterstic equation is r = ± i(5/4)
Hence , general solution :- x = A sin(5/4)t + B cos (5/4) t
Answered by Thiyagarajan K | 18 Dec, 2022, 21:32: PM
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