GATE Electrical 2012 | Question: 14

Question

With initial condition $x(1)=0.5$, the solution of the differential equation $t\dfrac{dx}{dt}+x=t$ is

• A. $x=t-\dfrac{1}{2} \\ $
• B. $x=t^2-\dfrac{1}{2} \\ $
• C. $x=\dfrac{t^2}{2} \\$
• D. $x=\dfrac{t}{2}$