GATE 2026 PI – Question 60

Engineering Mathematics · Differential Equations · 2 marks · Numerical answer

$dy/dt=2y$ and y(0) = 2. Find y(1), rounded to two decimals.

Show answer and explanation

Correct answer: 14.5 to 14.9

Explanation

Separate variables: $dy/y=2\,dt$, giving $y=Ce^{2t}$. Initial value y(0) = 2 implies C = 2. Thus $y(1)=2e^2\approx14.7781$, rounding to **14.78**.

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