Answer:
i believe the answer is y =5
(13)^2 = (12)^2 +( y)^2
169= 144 + y^2
169-144= y^2
25= y^2
5 = y
y < x; y > 5; x > 2
A. (9; 7) → x = 9; y = 7
y < x → 7 < 9 TRUE
y > 5 → 7 > 5 TRUE
x > 2 → 9 > 2 TRUE
B. (7; 5) → x = 7; y = 5
y > 5 → 5 > 5 FALSE
C. (-3; 8) → x = -3; y = 8
y < x → 8 < -3 FALSE
D. (3; 2) → x = 3; y = 2
y > 5 → 2 > 5 FALSE
E. (8; 6) → x = 8; y = 6
y < x → 6 < 8 TRUE
y > 5 → 6 > 5 TRUE
x > 2 → 8 > 2 TRUE
F. (6; 6) → x = 6; y= 6
y < x → 6 < 6 FALSE
Answer: A. (9; 7) and E. (8; 6)
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.