Problem 231. Differential equations I

Created by Tomasz
Appears in 2 groups

Difficulty:Rate

Solve Later
Add To GroupÃ‚

Given a function handle f an initial condition y0 and a final time tf, solve numerically the differential equation

dy/dt = f(y)

for the function y(t) between t=0 and t=tf. Give as a result res=y(tf).

Example:

   f = @(x) -x;
   tf= 1;
   y0= 1;

 => y(tf) = 1/e = 0.367879441171442

Remarks: aim at a relative precision of around 1e-6. The function is analytic in the interval [0,1].

Solve

Solution Stats

853 Solutions
135 Solvers

Last Solution submitted on Mar 11, 2025

Last 200 Solutions

Problem Comments

5 Comments

5 Comments

Show 2 older comments

warnerchang on 7 Aug 2023

As Nikolaos mentioned, the last test needs a fix. The value of 'a' is not transferred into the function handle 'f', and 'a' is just a char (not a value) in 'f'.

Christian Schröder on 7 Aug 2023

The last test case is not broken. When you define an anonymous function that includes variables, those variables are stored along with the function and remain available to it. This is true also when handles to the anonymous function are passed around, or when the variables in question are cleared from memory. See https://www.mathworks.com/help/matlab/matlab_prog/anonymous-functions.html#f4-71621 .

Kartik on 24 Dec 2024

I am completely lost while solving it, please someone guide me

Solution Comments

Show comments

Group

Randomness

11 Problems
19 Finishers

Problem Recent Solvers135

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!