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1998BC4

# 1998BC4 - 1998 130-4 92 Consider the differential equation...

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Unformatted text preview: 1998: 130-4 92 Consider the differential equation given by ab: = %. (a) 0n the axes provided below, sketch a slope ﬁeld for the given differential equation at the nine points indicated. ven differential equation with the initial condition (b) Let y = f(x) be the particular soiution to the gi with a step size of 0.1, to approximate f(0.2). f(0) = 3. Use Euler’s method starting at x = 0, Show the work that ieads to your answer. (c) Find the particular solution y = f(x) to the given differential equation with the initial condition f(0) = 3. Use your solution to ﬁnd f(0.2i. (a) YT \3-L / \21 / \1 / 40] 1 (b) Startat(0,3). Elli-=0 ..—_,~, Ayzgmmo ==>f(.1) z3+0:3. .15 =4» Ay ,~.. (.15)(.1) =.015 => f(.2) z 3 j» .015 =3.015 © il At (.1 , 3), ﬁ-lé‘ 1:2 . dy_xy 1 _ ’x _1 . - (c) "(E—3-==>[Edy—[dewlnkyl—Zx2+C==>y=C1e4 x1 f(0)=3 =¢ 01:3 -—-——>y=f(x)=3e7 © f(0.2) = 3e .01 x 3.030 ' @ i998 BC4 ...
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