Let's plug in (18,10) into each answer choice until we find the one that has it as a solution.
A) 2x - y = 26
2(18) - 10 = 26
36 - 10 = 26
26 = 26
Your answer is A.
I'll just do the rest to show that you the they are incorrect.
B) x + y = 18
18 + 10 = 18
28 ≠ 18
C) 2x - 2y = 36
2(18) - 2(10) = 36
36 - 20 = 36
16 ≠ 36
D) x - y = -28
18 - 10 = -28
8 ≠ -28
Your answer is A) 2x - y = 26.
The ODE is separable:

Integrating both sides gives

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Answer: Choice D. 
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This is because we want to avoid having negative numbers under the square root. So we make the radicand to be 0 or larger.
The +1 at the end doesn't affect the domain.
Look it up I will find it
Answer:
y^1 = log5/log9 & y^2 = 7 - 3x