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

I think the first one is a simple as it gets
for the second one it could be simplified to 6x^6-4 because u combine the x terms and distribute the power
The Pythagorean theorem can be used to find the length of the diagonal (d) of a square.
d² = (3√2)² + (3√2)² = 18 + 18 = 36
d = √36 = 6
The measure of the diagonal is 6.
Answer:
In my points of view brand D should <em><u>elimininate.In</u></em><em><u> </u></em> table have show the brand of D.If I am wrong I am sorry for talking 5pbt
Answer:
48
Step-by-step explanation:
48 is a multiple of 4 as these are the first multiples of number 4. (4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …)