/ 010 - Considere a EDO de primeira ordem a seguir: Considere a EDO de primeira ordem a seguir:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»d«/mi»«mi»y«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»x«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mo»#«/mo»«mi»e«/mi»«mi»d«/mi»«mi»o«/mi»«/math»

de «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«mn»0«/mn»«/math» a «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«mo»#«/mo»«mi»x«/mi»«mi»f«/mi»«/math» com «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»(«/mo»«mn»0«/mn»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»y«/mi»«mn»0«/mn»«/math». Resolva a equação utilizando o método explicito de Euler modificado com «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»h«/mi»«mo»=«/mo»«mo»#«/mo»«mi»h«/mi»«/math» .

]]> % Solução no MATLAB

clear all

dF=inline('equação'); % coloque aqui a equação

h=?; p=?;  % Substitua aqui os valores de h (passo) e p (número total de passos)

x(1) = ?; y(1) = ?; % Informe aqui as condições iniciais

for i = 1:p

x(i+1) = x(i) + h;

yP = y(i) + h*dF(x(i),y(i));

y(i+1) = y(i) + h/2*(dF(x(i),y(i))+dF(x(i+1),yP));

end

Solucacao=y(length(y))

]]> 1.0000000 0.3333333 0 true true abc Sua resposta está correta.

]]> Sua resposta está parcialmente correta.

]]> Sua resposta está incorreta.

]]> #s_euler

]]> Essa é a solução de Euler explicito.

]]> #s_euler_m

]]> #erro_1

]]> #erro_2

]]> Nenhuma das respostas esta correta.

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