heyya, got an exam in a few days... just going over old exam papers and found.
x = 1-e^-t (sin3t + 3cos3t)
dx/dt = 10e^-t sin(3t)
d^x/dt^2 = e^-t (3cos3t - sin3t)
show that: d2x/dt2 + 2dx/dt + 10x = 10
got a Latex image of it because i know formulea are hard to read like that^^
anyway... never seen a calculus question like it (also i did the working for dx/dt and d2x/dt2 so maybe errors) and i was hoping someone could point me in the right direction.
> maybe a name used, if it were in a textbook what would the title be
> any good resources from mathsworld or wikibooks math etc... on this type of question
> or if you have the time specific help with this question =]
thanks for any help
p.s. first post... im new here XD