MATH HW 1 - Name: lker Kksal ID: 20800584 Section: 02 MATH...

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Unformatted text preview: Name: lker Kksal ID: 20800584 Section: 02 MATH 225 Spring 2010 2011 MATLAB HOMEWORK #1 1-) a-) ans = dsolve('Dy + 2*y/x = sin(x)/x^2','x') ans =-(C2 + cos(x))/x^2 While I am using dsolve I found the general solution of the first order differential equation. b-) I draw the solution curves for three initial values that I choose and I used ezplot() to solve this. *-) ans = dsolve('Dy + 2*y/x = sin(x)/x^2','y(1)= 5','x') ans = (cos(1) - cos(x) + 5)/x^2 >> ezplot(ans) *-) ans = dsolve('Dy + 2*y/x = sin(x)/x^2','y(5)= 50','x') ans = (cos(5) - cos(x) + 1250)/x^2 >> ezplot(ans) >> ans = dsolve('Dy + 2*y/x = sin(x)/x^2','y(50)= 200','x') ans = (cos(50) - cos(x) + 500000)/x^2 >> ezplot(ans) c-)While I am using dfield, I draw the direction field of the equation in (a). d-) In conclusion, in part c, the graph includes all solutions but in part b, the graphs are drawn with three initial values that I chose....
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This note was uploaded on 10/23/2011 for the course ENGINEERIN 102 taught by Professor Pablo during the Spring '11 term at Bilkent University.

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MATH HW 1 - Name: lker Kksal ID: 20800584 Section: 02 MATH...

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