
![ه[3] اعلام و الم ) [ Hena | +[4] >= 3*د 0 = (0)۱ , ۶ (۵) ۷ ارم = ]H5[ 32 [1] = دو ر =م) * 0 from Answer کمار ۲۶ کم و م و =](http://img.homeworklib.com/questions/170dd830-77c2-11ec-8ed9-f982f8bfc8d4.png?x-oss-process=image/resize,w_560)
3) Solve the initial value problem. a) nie - 2x(y2 – 2y) = 0, with y(0) = 4 b) (-4y cos x + 4 sin I Cos I + sec? x)dx + (4y - 4 sin x)dy = 0, with y ) = 1
Solve the initial value problem y" – 3y' + 2y = e3r, y(0) = 2, y'(0) = -1. (a) y(x) = 40-1 – 4e2+ 2e 32 (b) y(x) = 1 e?' – 4e-2x + £230 (c) y(x) = 40-1 – 4e-2x + 3e3x (d) y(x) = 40" – 4e2x + e3r Select one: a с b d
be quick please
2. Solve the following initial value problem * (8 Puan) = 8x2e-2y, y(0) = 1 dx O y = 1 In(4x4 + f2) O y = In(2x - 1) O y = -48x²e-2y O y = In(4x4 – 3) O y = {In(2x' + e?) O none of these O y = In(4x4 + 5) O y = 2x4 + e-2y+2 O y = In (2x + e)
solve the initial value problem dy 3 2y = 2x y (1) = 3 ox
exact differential equations
2. Solve the initial value problem: (2.1 – y) + (2y – r)y' = 0) with y(1) = 3. 3. Find the numerical value of b that makes the following differential equation exact. Then solve the differential equation using that value of b. (xy? + br’y) + (x + y)x+y = 0
Solve the given initial value problem. y" +2y' 26y 0; y(0) 2, y'(0)-1
Solve the initial value problem y" – 2y' + 5y = 0; y(0) = 2, y'(0) = -4. For answer from (a), determine lim y(t).
Solve the initial-value problem. y" (0) =-1 y(0) = 2, y'(0) = 2, у",-2y" + y,-xe* + 5,
2. Solve the initial value problem using method of Laplace transforms: y" + 2y' + 2y = 3e1 satisfying y(0) 0 y'(0) =-1
21. Solve the initial value problem y" - y-2y= 0, y(0) = a , y ( 0) the solution approaches zero as t 0o. 2. Then find a so that