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Answer:
A) Particular solution:

B) Homogeneous solution:

C) The most general solution is

Step-by-step explanation:
Given non homogeneous ODE is

To find homogeneous solution:

To find particular solution:

Substituting
in (1)

Equating the coefficients

The general solution is

from (2) ad (3)

Answer:
Step-by-step explanation:
2k+10 | Both terms share the common factor two, so you can take it out (divide both terms by 2)
2(k+5) | Now if you use the Distributive Property to double check, you get 2k+ 10 again
Answer:
the quotient is keeping batman alive