Cody

Problem 231. Differential equations I

Solution 26440

Submitted on 3 Feb 2012 by S L
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Test Suite

Test Status Code Input and Output
1   Pass
%% f = @(x) -x; tf =1; y0 =1; assert(abs(deqnsolve(f,y0,tf)-exp(-1)) < 1e-5)

2   Pass
%% f = @sin; tf =1; y0 =1/2; assert(abs(deqnsolve(f,y0,tf)-2*acot(exp(-1)*cot(1/4))) < 1e-5)

3   Pass
%% f = @(x) 1/(x+1); tf =6; y0 =1; assert(abs(deqnsolve(f,y0,tf)-3) < 1e-5)

4   Pass
%% a randomized one a = rand*0.9; f = @(x) x-a*x^2; tf = rand+1.5; y0=1; assert(abs(deqnsolve(f,y0,tf)-exp(tf)/(1-a+a*exp(tf))) < 1e-5)

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