Question

Find r(t) for the given conditions

r'(t) = te^(-(t^2))i - e^(-t)j + k and r(0) = (1/2)i - j + k

Please help, need help understanding this. I think you don't have to integrate this and there's another way..

Answer 1

you just integrate each component and put in the initial condition to determine what the constants of integration are.