[3 Stan Your Bluebeam Free Trial X l u Dashboard X l a MAT 204 Exam \"[6833] - Self X Take Test: TEST'I 2023 Spriv X E Mail - omar estevez - Outlook X 1 + v ( C i bbhosted.cuny.edu/webapps/assessment/take/launch.jsp?course_assessment_id=_2472950_1&course_id=_2256873_1&content_id=_75387474_i&step=nu|| ) 5'} I] 0- v Remaining Time: 33 minutes, 28 seconds. v Question Completion Status: QUESTION 1 25 points Save Answer Consider the followin gdifferential equation: dy y + 2 E = E Find the general solutions and the particular solution with the initial condition: a) y( 1) = 2 b) y( - 1) = 0 C) y(0) = - 1 d) y ( 0) = 0 e) Clearly state, for which of the initial conditions the particular solution exists and for which it does not exist Attach File Browse Local Files Browse Content Collection Browse Dropbox QUESTION 2 25 points Save Answer Find the general solution of the LINEAR differential equation. For full creadit show all work and do not use formulas for for the solution: y ._ \"2 = 1 Make an attempt to nd the particular solution for the initial condition: a) y( - 2) = 1 b) y( 1) = 0 -\\'./ m _I\\ Click Save and Submit to save and submit Click Save AllAnswers to save all answers Save All Answers Save and Submit [3 Stan Your Bluebeam Free Trial X l u Dashboard X l a MAT 204 Exam \"[6833] - Self X Take Test: TEST'I 2023 Spril X E Mail - omar estevez - Outlook X l + v ( C i bbhosted.cuny.edu/webapps/assessment/take/launch.jsp?course_assessment_id=_2472950_1&course_id=_2256873_1&content_id=_75387474_1&step=nul| ) 5'} I] 0- v Rel Browse LCal Files iinutes, 17 seconds. v Question Completion Status: QUESTION 2 25 points Save Answer Find the general solution of the LINEAR differential equation. For full creadit show all work and do not use formulas for for the solution: )1 _ _ = 1 t+ 2 Make an attempt to find the particular solution for the initial condition: a) Y( - 2) = 1 b) y( 1) = 0 C) y( - 2) = 0 d) clearly state for which of the initial condidtions, the particular solution exists and for which iit does not exist Attach File Browse Local Files Browse Content Collection Browse Dropbox QUESTION 3 25 points Save Answer Use the substitution u= 3x+ 2y to solvethe differential equation ( 3x+ 2y)y'= 1. a) Clearly classify the equation obtained after the substitution b) on the plane (x , u) sketch at least three vectors of the slope field with different slopes Attach File Browse Local Files Browse Content Collection Browse Dropbox Click Save and Submit to save and submit Click Save AllAnswers to save all answers Save All Answers Save and Submit Start Your Bluebeam Free Trial X Dashboard x 5 MAT 204 Exam Il [6883] - Self- X Bb Take Test: TEST1 - 2023 Spring X Mail - omar estevez - Outlook x + abbhosted.cuny.edu/webapps/assessment/take/launch.jsp?course_assessment_id=_2472950_1&course_id=_2256873_1&content_id=_75387474_1&step=null Update : Remaining Time: 33 minutes, 13 seconds. Qu Browse Local Files Status: QUESTION 3 25 points Save Answer Use the substitution u = - 3x + 2y to solvethe differential equation ( - 3x + 2y) y'= - 1. a) Clearly classify the equation obtained after the substitution b) on the plane (x, u ) sketch at least three vectors of the slope field with different slopes Attach File Browse Local Files Browse Content Collection Browse Dropbox QUESTION 4 25 points Save Answer Verify whether the following equations are exact. If possible, solve the equation. X y a) x 2 - y2 " x 2 _ v2dy =0 b) (2x + 6x2y) dx+ (3y2+2x3) dy=0 Attach File Browse Local Files Browse Content Collection Browse Dropbox Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit