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Question
If y `= "Ae"^(5"x") + "Be"^(-5"x") "x" "then" ("d"^2 "y")/"dx"^2` is equal to ____________.
Options
25 y
5 y
- 25 y
10 y
MCQ
Fill in the Blanks
Solution
If y `= "Ae"^(5"x") + "Be"^(-5"x") "x" "then" ("d"^2 "y")/"dx"^2` is equal to 25 y.
Explanation:
as `"y'" = 5 "Ae"^(5"x") - 5 "Be"^(-5"x")`
and `"y'" = 25 "Ae"^(5"x") + 25 "Be"^(-5"x")`
= 25 y
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