3.) Solve the following Dif EQ, given the indicated initial conditions:
,
Work:
So m^4 - 3m^3 + 3m^2 - m = 0
m*(m-1)*(m^2 + m + 1)
Thus, m = 0 or 1.
So, the general sol'n would be:
So, with the conditions:
0 = c_1 + c_2e^(0)
So c_1 = -c_2
Then, would I find the 3rd derivative? Not really sure.
3.) Solve the following Dif EQ, given the indicated initial conditions:
,
Okay, my second attempt.. I def. messed up the first time.
The auxiliary equation is m^4 - 1 = 0.
We get:
Thus,
So,
Is this right? I think it is. So, if this is right, then I can find [tex]y', y'', y''' and solve the equations. However, wouldn't it be hard trying to solve the equations for ... it just feels as there is too much unknown..