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Second order reaction differential equation problem (more in comment)

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Hi there! I’m having a lot of problems with this particular question. I’m not a chemistry person so this area of question lacks a lot of intuition for me. I’m stuck on if I set up the DE correctly. The integral seems to be a particularly terrible one and I feel that I am not starting it correctly.

My logic is (A-x)a is the amount of un reacted grams of A left over at a given time (same logic for B) I then multiply them (Bc the internet said so) and try to solve for x in terms of t. I’m not feeling I’m doing this correctly tho as that integral yields a complicated answer that does not look correct.
Any help would be greatly appreciate.

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