Determine all solutions of the differential equation y`= -9y
Use the variables C and x as appropriate.

Question

Determine all solutions of the differential equation  y`= -9y 
Use the variables C and x as appropriate.

bahrom7893 · Answer

dy/dx = -9y
dy/y = -9dx
ln|y| = -9x + C
e^ln|y| = e^(-9x+C)
y = e^C*e^(-9x)
y = Ae^(-9x)

bahrom7893 · Answer

as e to some constant is still a constant then u just write that as A

bahrom7893 · Answer

Please click on become a fan if I helped, I really want to get to the next level!! Thanks =)

anonymous · Answer

yeh np

anonymous · Answer

haha, click on become a fan, really want to get to the next level, haha, I like it.  You deserve it bahrom, nice work.  Wish I had someone to help me out like that the first time I saw diffeq ; )