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Question
If y = cos nx, then `(d^2y)/dx^2 + n^2y` = ______
Options
1
-m2
0
-1
MCQ
Fill in the Blanks
Solution
If y = cos nx, then `(d^2y)/dx^2 + n^2y` = 0
Explanation:
y = cos nx .........(i)
∴ `dy/dx` = -n sin nx
∴ `(d^2y)/dx^2 = -n^2 cos nx`
⇒ `(d^2y)/dx^2 + n^2y = 0` ..........[From (i)]
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Higher Order Derivatives
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