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Question: 1517and 29...

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15,17,and 29

Exercises 11.4 Solve each differential equation. 1.dy-s-r 2.d2+3y = e-a 2. dy + 3y = e-2x dy 3y dy-2-x2 + 5 3.. =X3-2 dr 5, y + 2xy = e3(3 + 2x) 6, y一3x)-e(3x2-1) 7. dy-4ydx= x2eadr 8, dy-3x2y dx = x2 dx 9, xdy-Sydr = (x6 +4x) dr dr 11, (1 +x2) dy + 2xy dr = 3r2dr 12. ar _ y tan x = sin x 13, x2y, + 2xy 4-7 14. x2y_2xy = x3+5 dy 16. (x+1)ar + 5-10 /17. xar-y=3x xdr_y=3x2 -+2y = e 18. dy + 3ryī 8 19. y + yeos r se cos x// 18, dy+-y-8 18. _ +ーーーーーーー=8 19. y, + ycos x = cos x 20. _ + y see-x=sec x 20. + y sec2-sec2 x ーャーー! Find a particular solution o each differential equation subject to the given initial conditions. 21.dy-3-e2c, y = 2 when x = 0 22. dy _ y=x2 + 3; y = 3 when x = 1 dx 23.dy esc x-yootr,yG)-플 24. dy =(x-3)dr; y(0) = 1 27) 3π 23.-csc x-ycot x; y(3)=2 csc x _ ycotry(5)-3r 24. dy = (x-3y) dr; y(0) 1 y(3]=2. 24. dy=(x-3 25. y ex-y: y(0) =- 26, y, + 8x2y 4x2; y(0) = 2 dy3y 27, xdr + y = 3;y(1)--2 28. = (x-4)2; y(5) = 3 dr x-4 29, xy + y = 4x3; y(2) 3 30, y + y sin x = sin x; y(π/2) = 3 CHAPTER 1 1 First-Order Differential Equations d dy-dr

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