the problem goes..

The integrating factor for the ODE dxdt - 2xt = t is the integrating factor e*(-2integral(tdt)) = e^-t^2

multiplying the ODE by the integrating factor:

ddt((e^-t^2)*x) = t(e^-t^2)

integrate : e^-t^2 = -0.5(e^-t^2) + c

how does one get the integation bit?? i cant understand it at all =( .. especially the -0.5 ( .... ) +c bit

i tried by parts..but =S.. i end up integrating again and again....and again =| wow