DE TF 1:30P - 3:00P 06-301P X Google Meet X IE SW#1 Introduction to Differe x (2) Messenger X ~ Messenger + X C https://www.messenger.com/messenger_media/?thread_id=5354240554683421&attachment_id=33307955838226418message_id=mid.%24gABMFpOZNzB21... LE Determine the solution of the following differential equations. Choose the correct answer by shading the circle corresponding to your choice. Show your detailed solutions on a separate sheet. 1. (x2 -9) dy - xy dx = 0 o y = c(x-9) 0 12 = c(x-9) 0 12 = c ( 12 -9) 0 x2 = c(12+9) 2. dx - (x-2) e 3y dy = 0 0 2y = Inc (x -3)21 0 3y = In | c (x-2) 1 0 2y = In | In | c (x -3) 11 0 3y = In | In | c (x -2)311 3. e-3x-1 In y dy - yex dr = 0 0 2 (In y)2 - e4+1 = c o In 2 - e 4x+1 = c O Inyz + ex = c 0 2 (In y)2 - e 4x = c 4. y 2 (x2 - 3) 1/2 dx - 3x -1 e 2y dy = 0 0 4(x2 - 3) 3/2 - 18 12 e 2 + 18 ye2 -9ely =c 0 e 2 (2)2 + 2 ) + 1)=c 32 C O W ENG 2:57 pm Rain coming .a. US 19/08/2022DE TF 1:30P - 3:00P 06 X Google Meet X SW#1 Introduction to x ~ (1) Messenger ~ Messenger X * Dashboard + X C https://www.messenger.com/messenger_media/?thread_id=5354240554683421&attachment_id=3330795583822641&message_id=mid.%24gABMFpOZ... @ 4. y -2(x2 - 3) 1/2 dx - 3x -1 e 2y dy = 0 0 4(12 - 3) 3/2 - 18 12 e 2y + 18 ye2 -9ely = c 0 e2 (2)2 + 2 y + 1) =c 0 4 ( x2 _ 3 ) 1 /2 + 9 12 e 2x - 9 ye2y + 18 e2y = c 0 2 12 e 2 + 2 ye2y +3=c 5. sin 24 tan? B do + (sec2 B - 1) cos q dB = 0 O B = 2 sing + c O Q = 2 sec2 B + c O ( = 2 tan B + c O B = 2 cos q + c 6. ey dy dt - - 312 = 0, when 1 = 0, y = 1 O y = In (12 + e) O y = In (12 + en) o y = In (13 + e ) O y = In (1 - ex) 7. tan x dy + y'sin' x dx = 0, when x = 0, y = 1 0 y2 (3- cos 2x) = 2 0 y ? (2 - cos 2x) = 1 32 C Rain coming O a W ENG 2:59 pm US 19/08/2022DE TF 1:30P - 3:00P 06 X Google Meet IS SW#1 Introduction to x Dashboard X X (1) Messenger ~ Messenger X + C https://www.messenger.com/messenger_media/?thread_id=5354240554683421&attachment_id=3330795583822641&message_id=mid.%24gABMFpOZ... @ O y (cos 2r - 2x) = 1 O y (cos 2r - 1) = x 8. ex-> (1 + x) dr + cosy dy = 0, when x = 0, y = 0 0 2exx (cosy - sin y) + ex (2x 2 + 2x + 3) = 5ex+> 0 2 ex (cosy - sin y) + exx (2x 2 + 2r + 3) = 5ex-2x O exx (sin y - cos y) + 2 ex (2x 2 - 2x - 3) = Se2+y O exx (cos y - sin y) + 2 ex (2x 2 + 2x + 3) = 5ex-2x 9. (1 + cos 2y) dr - 21 2 dy = 0, y(1) =# O y = Arctan (2 - !) O y = Arctan ( - 2) O y = Arctan (1 - 1) O y = Arctan (2 - 1) 10. (y + 1) dr - (xy + x - 3y - 3) dy = 0, when x = 5, y = In 4 oy = (x - 3)2 O y = In (x - 3) 2 o y = In (2x - 6) O y = (2 - Cos 1) -3 ENG 2:59 pm 32 C US 19/08/2022 Rain coming