Consider the differential equation \frac{dx}{dt} = 10\:−\:0.2x with initial condition \:x (0) \: = \:1. The response x(t) for t > 0 is

Correct Answer is : 50−49e−0.2t

GATE Electronics and Communications (EC) 2015 Shift 2 Solved Paper

Question : 36 of 65

Marks: +1, -0

Consider the differential equation

\;{dx}/{dt} = 10\:−\:0.2x

with initial condition

\:x (0) \: = \:1

. The response x(t) for

t > 0

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