All answers provide are correct just need help on last question In this question, you will solve the differential equalion ay = e4ytA - 3ey. This differential equation is separable, in other words, we can write it in the form* = p(t) aly).dtWhat are the two functions p(t) and g(y)?P(t) =4q(y) =tNow separate the variables. Integrate both sides of the resulting equation with respect to t and replace Ydt by dy in the integral on the left side.dt"dy =4yA- 3dtDo the integratlons on both sides. Use k to stand for your constant of integration for the left side and K to stand for your constant of integration for the right side. (Lowar case k on left side, upper case K on right side.)1-4yIntegrating left side gives:Te+kIntegrating right side gives:- 3t + KWe can combine the two constants of integration Into a single consturil, C, that appears as +C on the right side of our eguatiori. (We do this by subtracting k trom both sides of the equation.)Write the new constant C in terms ofk and KC= K-k Th MA 231 hyTn MA 231 hy x1 MA 231 hy xW MA 231, seWA Lesson 5, A XWA Lesson 7, BW. Lesson /, AA Lesson 5, B X+-i webassign.net/web/Student/Assignment-Responses/last?dep=27285613Write the new constant C in terms of k and KC -K-kNote: For the rcst of this problem and for all problems following in this assignment, whenever we do separation of variables, we will use a single constant of integration, adding C to the right side.Even if it is possible to simplify (like, for instance, when we wrote A= eC in an example in class), you should leave your answer in terms of C.Finally, rearrange to get y as a function of t. (The constant of integration, C, will appear in your answer.)

Answered: Image /qna-images/answer/d0897e7c-db88-42d3-b98c-931d7e3317bd.jpg

dt erencial aquation is separable, in other words, we can write it in the form = p(t) q(y). What are the two functions p(t) and g(y)? (t) - - 3 low separate Lhe variables. Integrate both sides of the resulting equation with respect to t and replace dy dt by dy in the integral on the left side, 4y dy = - 3 dt Do the integratlons on both sides. Use k to stand for your constant of integration for left side and K to stand for your constant of integration for the right side. (Lower case k on leſl side, upper case K on right side.) -4y Entegrating left side gives: +k Integrating right side gives: -3t + K We can combine the two constants of integration Into a single consturit, C, that appears as +C on the right side of our eguatiori. (We do this by subtracting k trom both sides of the equation.) Write the new constant C in terms ofk and K K-k

dt erencial aquation is separable, in other words, we can write it in the form = p(t) q(y). What are the two functions p(t) and g(y)? (t) - - 3 low separate Lhe variables. Integrate both sides of the resulting equation with respect to t and replace dy dt by dy in the integral on the left side, 4y dy = - 3 dt Do the integratlons on both sides. Use k to stand for your constant of integration for left side and K to stand for your constant of integration for the right side. (Lower case k on leſl side, upper case K on right side.) -4y Entegrating left side gives: +k Integrating right side gives: -3t + K We can combine the two constants of integration Into a single consturit, C, that appears as +C on the right side of our eguatiori. (We do this by subtracting k trom both sides of the equation.) Write the new constant C in terms ofk and K K-k

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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