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Engineering Maths · Q38

Differential Equations

Engineering and GATE · Engineering Maths · question 38

Q38

The solution of the differential equation, for t > 0, y''(t) + 2y'(t) + y(t) = 0 with initial conditions y(0) = 0 and y'(0) = 1, is (u(t) denotes the unit step function),

A.
te-tu(t)
Answer
B.
(e-t - te-t)u(t)
C.
(-e-t + te-t)u(t)
D.
e-tu(t)

Answer: Option A

Solution

Answer: Option A
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