Given below are two statements: Assertion (A): The difference equation Y(t+1) - rY(t) = 0 has the general solution Y(t) = A × rt, where A is an arbitrary constant. Reason (R): For a first-order homogeneous linear difference equation Y(t+1) = rY(t), the solution is obtained by repeated substitution, yielding Y(t) = Y(0) × rt. Choose the correct answer:

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Mathematics · Difference Equations

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Both (A) and (R) are correct and (R) is the correct explanation of (A)

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Answer 1

Both (A) and (R) are correct and (R) is the correct explanation of (A)

Answer 2

Both (A) and (R) are correct but (R) is NOT the correct explanation of (A)

Answer 3

(A) is incorrect but (R) is correct

Answer 4

(A) is correct but (R) is incorrect

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