9.2 Direction Fields and Euler's Method

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m \"mummy\". XYQ musings; x\\ e 0 'G)www.webassign.net/web/Studefit/AssignmerikRespunsas/submlt?dep:'l5509563 IOE Need new? . 1 EXAMPLE 1 (a) sketch the direction field for the differential equation y' : sxz + syz , 1. l 4 l I 0:) Use part (a) to sketch the solution curve that passes through the origin 1 e 0 iG)www.webassign.net/web/Student/Assignment7Re5pun525/5ubmlt?dep:'i5509563 (3] Use Euler's method with step sile 0.2 to estimate y(L4), where V(X] is the solution or the th-4) : ial7value prohlem y' = 2x 7 2w, y(l] 0. (Round your answer to tour decimal places.) (b) Repeat part (a) with step size 0.1. (Round your answer to four decimal places.) y(1.4) : Need new 0 I 0 use Euler's method with step size 9.1 to estimate y(t), where y(x) is the solution uf the initialwalue prnblem y' 1 7 lxy, you] : o. (Rnund your answer to fnur decimal places.) thl : Need Help? __i o I 0 R EXAMPlE 4 In this example we discussed a simple electric circuit with resistance 10 (I, inductance 2 H, and a battery with voltage 50 V. If the switch is closed when t : 0, we modeled the current] at time tto the al value pmblem i=25751 I(u)=0 L dt Estimate the current in the circuit half a second after the switch is closed. m) SOLUTION We use Euler's method with F\