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Grade 12Integral Calculus

Find the differential equation of the family of curves y=ae^x+be^-x
, where
A and B are arbitrary constants.

Profile image of Shubhashish Mohanta
7 Years agoGrade 12
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1 Answer

Profile image of Arun
7 Years ago
Dear student
 
dy/dx =ae^x- be^-x
d^2y/ dx^2 = ae^x+ be^-x
 
hence d^2y/dx^2 = y
 
hope it helps
 
Regards
Arun (askIITians forum expert)