First look for the fundamental solutions by solving the homogeneous version of the ODE:

The characteristic equation is

with roots
and
, giving the two solutions
and
.
For the non-homogeneous version, you can exploit the superposition principle and consider one term from the right side at a time.

Assume the ansatz solution,



(You could include a constant term <em>f</em> here, but it would get absorbed by the first solution
anyway.)
Substitute these into the ODE:




is already accounted for, so assume an ansatz of the form



Substitute into the ODE:





Assume an ansatz solution



Substitute into the ODE:



So, the general solution of the original ODE is

Answer:
50 % since there are 3 odd numbers on a die [1.3.5] and 3 even numbers [2,4,6]
Step-by-step explanation:
Let gradient of original line = m = 1/6
Gradient of line perpendicular to this = -1/m = -6
(Gradient = slope)
Answer:
=12x+28
Step-by-step explanation:
Answer:
x=0
Step-by-step explanation:
1/2(40+2x)=20
20+x=20
x=0
(I believe that s is the bisector, please correct me if I am wrong)