Question: 6. Cornelia is working with the differential equation :13: = y t. She has no method like separation of variables to use but still needs

 6. Cornelia is working with the differential equation :13: = y

6. Cornelia is working with the differential equation :13: = y t. She has no method like separation of variables to use but still needs to a way to gure out which, if any, of the following functions are . y l t t = t. sou 10115 0 dt y (i) y(t) = t + 2 (ii) y(t) = at H 1 (iii) y(t) = 6'5 + t + 1 (iv) y(t) = t d (a) Read the differential equation 3% = y - t with meaning. Write down exactly how you would read the equatiOn with meaning. Recall reading with meaning was discussed in Unit 1. (b) Explain how Cornelia can use a slope eld to determine which, if any, of these functions are d solutions to the differential equation, dil = y - t. (c) Use what it means to be a solution to a differential equation to determine which, if any, of these d functions are solutions to (T: = y w t. Show all work

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