Question

Undetermined Coefficients...
y" + 10 y' + 16 y = 0

Answer 1

roots = -2,-8

Answer 2

Yp=0 ?
Yh = c1 exp(-2t) + c2 exp(-8t) ?

Answer 3

you have a homogenous equation so the homogenous is the solution

Answer 4

now the test had initial conditions which I can't remember. I got to this point but couldn't remember how to apply the initial conditions. I remember y' = 4 lets say x = 0 and y =2

How do I apply the initial conditions

Answer 5

take the derivatives of y as needed and solve the system that resutls

y = a exp(-2t) + b exp(-8t)
y' = -2a exp(-2t) - b exp(-8t)

assuming you meant t=0 ....

2 = a exp(0) + b exp(0)
4 = -2a exp(0) - b exp(0)

Answer 6

pfft, i deleted my 8

Answer 7

Now its easy, thx. I frustrated with myself now, haha

Answer 8

:) you did fine