The differential equation for y=A \cos \alpha x+B \sin \alpha x, where A and B are arbitrary constants, is

Correct Answer is : d2ydx2+α2y=0

\frac{d^2 y}{d x^2}-\alpha^2 y=0

\frac{d^2 y}{d x^2}+\alpha^2 y=0

CUSAT 2022 BTech Solved Paper Shift 4

Question : 123 of 200

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The differential equation for y=A‌cos‌α‌x+Bsin‌αx, where A and B are arbitrary constants, is

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