Numerical Methods for Solving Differential Equations

  • Thread starter Thread starter CHRIS57
  • Start date Start date
  • Tags Tags
    Numerical
Click For Summary
The discussion focuses on solving a differential equation for velocity v(t) using numerical methods. Participants emphasize the importance of separating variables and integrating both sides of the equation. A key suggestion involves using the substitution y = g - (c/m)v to facilitate integration. There is also a request for clarification on any initial conditions that may affect the solution. Overall, the conversation highlights common challenges and collaborative problem-solving in understanding differential equations.
CHRIS57
Messages
1
Reaction score
0
Numerical Methods/Diff Eq :)

2. Problem

2cdizj9.jpg


Clarified: Solving for v(t)

Homework Equations



equation (1)

The Attempt at a Solution



I know the two parts of the hint are important, and tried moving the dt over to the other side and integrating, but I can't seem to isolate the velocity. I think I have to do a derivative before integrating, but I'm not sure how?Thanks guys ;)
 
Physics news on Phys.org


Move the g-(c/m)v over to the dv side as well and integrate both sides. The equation is 'separable'. The hint is indicating that you then use the substitution y=g-(c/m)v on the dv side.
 


Dick your answer is incredible, I've also been struggling with differential equations but now it makes a whole lot more sense haha

PS, mr. OP, are there any initial conditions given?
 

Thread 'Distance between a Clock's hands when the distance is increasing most rapidly'

Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?
View full post »

Similar threads

Question about approximate numerical integration methods
  • · Replies 4 ·
Replies
4
Views
1K
Fredholm Integral Equation Numerically
  • · Replies 13 ·
Replies
13
Views
2K
Reduction of order for Second Order Differential Equation
  • · Replies 2 ·
Replies
2
Views
1K
Solving system of differential equations using elimination method
  • · Replies 10 ·
Replies
10
Views
2K
Integration of acceleration in polar coordinates
  • · Replies 24 ·
Replies
24
Views
3K
Solutions of first-order matrix differential equations
  • · Replies 5 ·
Replies
5
Views
2K
Solving a linear differential equation with constant coefficients
  • · Replies 9 ·
Replies
9
Views
2K
Solve ##\int\frac{e^{-x}}{x^2}dx## and ##\int \frac{e^{-x}}{x}dx##
  • · Replies 7 ·
Replies
7
Views
2K
Second order(?) ODE + Runge-Kutta method question
  • · Replies 5 ·
Replies
5
Views
3K
Obtain a nonzero solution of ##y''-4y'+x^2(y'-4y)=0## by inspection
  • · Replies 7 ·
Replies
7
Views
2K