From fdd7e999175c076e3018630465a6fa6e681aae55 Mon Sep 17 00:00:00 2001 From: nin13001 <32068635+nin13001@users.noreply.github.com> Date: Tue, 5 Dec 2017 23:14:26 -0500 Subject: [PATCH] problem 2 part B --- README.md | 19 ++++++++++++++++++- assets/README-66741291.png | Bin 0 -> 41589 bytes prob2_ode.m | 3 +++ prob2ptB.m | 11 +++++++++++ 4 files changed, 32 insertions(+), 1 deletion(-) create mode 100644 assets/README-66741291.png create mode 100644 prob2_ode.m create mode 100644 prob2ptB.m diff --git a/README.md b/README.md index f91027b..3ce5658 100644 --- a/README.md +++ b/README.md @@ -1,4 +1,21 @@ # 06_initial_value_ode # Problem 2 ## Part A -The analytical solution to y' = -y is y = e^-t +The analytical solution to y' = -y is y = e^-t + +## Part B + +``` +dt=[0.5 .1 .001]; +figure(); +hold on + x=[0:dt(2):3]'; + y_n=zeros(size(x)); + y_n(1)=1; +for i=2:length(x) + dy=prob2_ode(x,y_n(i-1)); + y_n(i)=y_n(i-1)+ dt(2)*dy; +end +plot(x,exp(-x),'k-',x,y_n,'o'); +``` 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