Determine whether the equation is exact. If it is, then solve it. e Superscript t Baseline (7 y minus 3 t )dt plus (2 plus 7 e Superscript t Baseline )dy equals 0et(7y−3t)dy2+7et dy=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Step-by-step explanation:

You have the following differential equation:

This equation can be written as:

where

If the differential equation is exact, it is necessary the following:

Then, you evaluate the partial derivatives:

The partial derivatives are equal, then, the differential equation is exact.

In order to obtain the solution of the equation you first integrate M or N:

       (1)

Next, you derive the last equation respect to t:

however, the last derivative must be equal to M. From there you can calculate g(t):

Hence, by replacing g(t) in the expression (1) for F(t,y) you obtain:

where C is the constant of integration

table 1

step-by-step explanation:

1-16

2-32

4-64

8-128

all multiples of 16

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step-by-step explanation:

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