Reverse Product Rule method vs. Separation of Variables method

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Reverse Product Rule method vs. Separation of Variables method
1. For each of the following, determine which method(s) could be used to find the general
solution. Do NOT actually find the general solutions, just determine which techniques or
technique could be used.
(a)
dy
= 2y " 3e " t
dt
(b)
dy
= "0.2(75 " y)
dt
(c)
(d)
dy
= y2 + 1
dt
dy
= e t y " cost
dt
2. Create a differential equation (different from any of the ones above)
(a) ... that can be solved with separation of variables, but not using the reverse product rule
method
(b) ... that can be solved with the reverse product rule method, but not by the separation of
variables method
(c) ... that can be solved by BOTH of these methods.
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