1. Use separation of variables to find an explicit form of the solution to the following ODES. Do not forget a constant of integration in your computation. Also, solve for the unknown function explicitly if possible. a. b. C. dy dt dy dt e. dy dt te³t² 3y 2t + 1 d. u'+u+ 1 = 0. dy dt 2t-y + cos 5t. 4t + 1 y + 1 f. y' = 6t(2 + y)².

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A: Topic:- differential equations

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A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

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A: NOTE: Refresh your page if you can't see any equations. .

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A: NOTE: Refresh your page if you can't see any equations. .

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