Part CCSIR NET December 2024eliminate-first-then-read-the-eigenvalues

Eliminate first then read the eigenvalues

If x = x(t), y = y(t) is the solution of the initial value problem dx/dt + dy/dt = 2x − 3y + eᵗ, dx/dt + 2(dy/dt) = 3x − 4y + 2eᵗ, x(0) = −1, y(0) = −1/2, then which of the following statements are true?

A. $x (π) = - e^{π}, y (π) = 1/2$ ✓
B. $x (- π) = e^{(} - π), y (- π) = 1/2$
C.x has infinitely many zeros in $R$ ✓
D.y has infinitely many zeros in $R$ ✓

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward.

See pricing

50 are analysed free — try those first.

Related counterexample: W(f, g) ≡ 0 implies f and g are linearly dependent

Eliminate first then read the eigenvalues

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