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Engineering Mathematics
Differential Equations
GATE 2017
Easy

For dx/dt=sin(t), x(0)=0, the value of x at t=π/3 is

0.5(± 0.02 accepted)

Explanation

x(t)=1−cos(t). At t=π/3: x=1−cos(60°)=1−0.5=0.5.

Source: GATE CH 2017 (2017)

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