JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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Application +4 | -1

Consider the two statements :

Statement I

y=\sin k t

satisfy the differential equation

y^{\prime \prime}+9 y=0

.

Statement II

y=e^{k t}

satisfy the differential equation

y^{\prime \prime}+y^{\prime}-6 y=0

.

The value of

k

for which both the statements are correct is

View answer and explanation

Correct option: A

-3

Option A, -3, is the correct value of k for which both statements are correct, as it satisfies both differential equations.

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