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d_y_y22y8 (a) (4 points) First, separate the variables, i.e., rewrite the equation such that one variable is one each side of the equation, as in
d_y_y22y8 (a) (4 points) First, separate the variables, i.e., rewrite the equation such that one variable is one each side of the equation, as in (2) Check that you have all terms in y on the lefthand side and all terms in t on the righthand side. Hint. Things are easier in the next steps if the constant 6 is on the left side. (b) (4 points) Integrate the righthand side with respect to t and the left side with respect to y. Put the integration constant on the righthand side only. Hint. Except for the constant, you will get only terms containing 1n. (c) (2 points) Use log rules to gather all the terms on the left hand side into one ln. Then, take 8 raised to each side and use exponential rules to simplify the expressions. For example, if the left-hand side were 1n(3m), you would have elm\") = 3x
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