Need to solve the following equation, but i can't seem to separate the variables correctly so i can integrate through.
dx/dt = t - x
You have to guess an initial solution for . Check this out: Method of undetermined coefficients - Wikipedia, the free encyclopedia
thanks for all help so far, that working makes sense to me Krizalid, but on integrating i get i.e. , or , which doesnt seem right to me.
I should give more information. This was just part of some dynamics book and i couldn't figure out how they got the solution. Their solution was
where is the solution at t=0
realised i made a lazy mistake there, forgot to add in the constant of integration, so the solution actually becomes
When i substitute this back in to the original equation it works, which is good, however it is different than the solution given in the book:
which doesn't give the right answer when substituted back into the equation. Is the one in the book wrong?? I am confused!