My Math Forum Eulers Method

 Differential Equations Ordinary and Partial Differential Equations Math Forum

 March 31st, 2015, 11:30 PM #1 Member   Joined: Apr 2014 From: australia Posts: 68 Thanks: 32 Eulers Method hello, need some guidance with this question: Consider the initial value problem; dy/dt = (cosy + 3) / y, y(0)=0.5 a) Use Euler's method with 5 steps to estimate y(0.1) up to three decimal points. Answer: I am confident with this part; y1= 0.655 y2 = 0.771 y3 = 0.867 y4 = 0.951 y5 = 1.027 b) Sketch the direction field in the domain 0 ≤ t ≤ 0.1, 0.2 ≤ y ≤ 1.4. ? c) Determine whether the approximate solution overestimates or underestimates the exact solution. ?? Any help would be appreciated. Thanks from Yury Stepanyants
 April 1st, 2015, 07:51 AM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,094 Thanks: 2360 Math Focus: Mainly analysis and algebra For the direction field, you pick pairs $(x,y)$ and at each point mark the gradient of the function. You can then sketch some solutions by following where the gradients lead. For the last part I think you should look at the solutions you sketched above. Thanks from harley05

 Tags eulers, method

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post sanam123 Calculus 0 February 12th, 2014 04:28 AM mathbalarka Number Theory 15 May 30th, 2012 11:20 PM ferret Applied Math 0 November 1st, 2011 08:15 PM eric3353 Calculus 3 July 3rd, 2008 03:23 PM guru123 Algebra 2 December 31st, 1969 04:00 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top