ProblemSetC

# ProblemSetC - ode45(fb, [0 15 ] , 1) figure title 'Solution...

This preview shows pages 1–2. Sign up to view the full content.

% Problem Set C %% Problem 1a f = @(t,y)(-exp(y)/(t.*exp(y)-sin(y))); % finding the approximate values [t, ya] = ode45(f, 0 : 1.5 : 3 , 1); format long; [t ya] % Graphing Solution on required interval ode45(f , [0.5 4] , 1); o %% 1b f = @(t,y)(-exp(y)/(t.*exp(y)-sin(y))); solution = dsolve('Dy = -exp(y)/(t * exp(y) - sin(y))' , 'y(1.5) = 2' , 't') figure ezplot(solution , [0.5 4]) e %% Problem 10 % part a fa = @(t, y) exp(-3.*t) + (1./(1+y.^2)) ode45 (fa, [0 10], -1) title 'Solution to (exp(-3.*t) + 1/(1+y.^2)) with intital condition y(0) = -1'; xlabel t; ylabel y; y %The Solution to this equation has a limiting value for y which equals 3.5 % %% part b fb = @(t,y) (exp(-2.*t) + y.^2);

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ode45(fb, [0 15 ] , 1) figure title 'Solution to (exp(-2.*t) + y.^2) with initial Condition y(0) = 1'; xlabel t; ylabel y; y %% part c fc = @(t,y) (cos(t) - y.^3); ode45(fc , [0 10] , 0); figure title 'Solution to (cos(t) - y.^3) with intitial condition y(0) = 0' xlabel 't'; ylabel 'y'; axis tight; a % The Solution is a sinusoidal function which does not have a limiting % value for y % %% part d fd = @(t,y)((sin(t)).*y - y.^2); ode45(fd, [0 150 ] , 2); title 'Solution to ((sin(t)).*y - y.^2) with initial condition y(0) = 2'; xlabel 't'; ylabel 'y'; y % As t tends to infinity the solution osillates about zero %...
View Full Document

## This note was uploaded on 06/28/2009 for the course MATH 246H taught by Professor Zheng during the Spring '08 term at Maryland.

### Page1 / 2

ProblemSetC - ode45(fb, [0 15 ] , 1) figure title 'Solution...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online