Question

quick help with another homogeneous linear equation with initial conditions
y''+y'=0 y(0)=2, y'(0)=1

Answer 1

yeah this one is throwing me off :/
i think its
\[r^2+r=0\]

Answer 2

@satellite73 when you aren't busy please!

Answer 3

@DoYourHomework well i didn't get very far into it without trouble again :/

Answer 4

or should it be r^2+r+0=0? not sure if that makes a difference...it only would with quadratic equation

Answer 5

these seem so easy in class and when i do homework it kicks my A**

Answer 6

roots are r = -1 and r = 0

Answer 7

So
\[y = c_{1}e^{-x}+c _{2}\]

Answer 8

\[y' = -c_{1}e ^{-x}\]

Answer 9

so C1=-1?

Answer 10

\[2 = c1+c2\]
\[1= -c1\]

Answer 11

yes :D

Answer 12

ok it was just the r^2+r=0 that threw me off :/ thanks for your help again @DoYourHomework !

Answer 13

np!