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Practice 5 - Calculus 2 Mike H u Spring 2009(6 points 7...

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Unformatted text preview: Calculus 2 Mike H u(( Spring 2009 (6 points) 7, Determine the solution of the differential equation dy = ywhere dt 5t~ (dt I y(O) = 1 a) Use the solution yet) to calculate y(1) kit ~e-b rf'C z: j::;- 1co) ~ I Y( I)::--C Get I b) Use Euler's method with step-size h = 02 to estimate y(1) by filling in the following table for the equation. Find the error in each of your estimates. x Error V \ 0 / / / @I/) / 0, t I, 0.2 0.4 0.6 0.8 1 0 z: r. 1..[,Lilt (,44 ins 1·71 (Jtlt Yn t' ::: I" Y, c: + f'(XnJ Y",)h /0 + F (~() tv) ~ I 1+ /(2):=/.Z it z: y, tF, I,) h (XI) ::: /·2+ 1.Z z: (t-) Jv~~ y~-= yt: + (f't) l; z: I, 44 + (~, 4 it Q <' l-) ~ I., 72-'6 Y4 -= 1. t ss = Z.O s 2.o13t Z'()7'S {, + i, t z« (. z) 75 b h z: Xn+ I- X" ...
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