Answer:
he lost 170 points in total.
Step-by-step explanation:
10 x 7 = 70
plus 100 for going over time
Given a solution
, we can attempt to find a solution of the form
. We have derivatives
Substituting into the ODE, we get
Setting
, we end up with the linear ODE
Multiplying both sides by
, we have
and noting that
we can write the ODE as
Integrating both sides with respect to
, we get
Now solve for
:
So you have
and given that
, the second term in
is already taken into account in the solution set, which means that
, i.e. any constant solution is in the solution set.
It can't be write in a standard form
2x^2 + 16x + 50 = 0
divide through by 2:-
x^2 + 8x + 25 = 0
(x + 4)^2 - 16 + 25 = 0
(x + 4)^2 = -9
x+4 = 3i or -3i
x = -4 + 3i , -4 - 3i