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

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

Grade:12

1 Answers

Arun
25763 Points
2 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)

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