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CBSE Class 11-science Answered

16dx2/dt2+ 25x = 0
question image
Asked by adityajaiswal80551 | 18 Dec, 2022, 06:29: PM
answered-by-expert Expert Answer
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
 
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

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