GATE EC 2015 Set 2 Q36: Differential Equation dx/dt = 10 - 0.2x Solution

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EC > GATE 2015 SET-2 > Engineering Mathematics - Differential Equations

Consider the differential equation ^dx⁄_dt = 10 − 0.2x with initial condition x(0)=1. The response x(t) for t > 0 is

A

2 − e^−0.2t

B

2 − e^0.2t

C

50 − 49e^−0.2t

D

50 − 49e^0.2t

Correct : c

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