How to Solve Second Order Linear Differential Equations with Initial Conditions?

Click For Summary
SUMMARY

This discussion focuses on solving the second order linear differential equation y'' = B*sin(t) - y with initial conditions y(0) = A and y'(0) = 0. The equation requires understanding of differential equations and specific techniques for solving them. A resource link was provided for further guidance. The conversation highlights the importance of correctly formulating the equation before attempting a solution.

PREREQUISITES
  • Understanding of second order linear differential equations
  • Familiarity with initial value problems
  • Knowledge of techniques for solving differential equations
  • Basic calculus concepts, particularly derivatives
NEXT STEPS
  • Study methods for solving second order linear differential equations
  • Learn about initial value problems and their significance
  • Explore the use of integrating factors in differential equations
  • Review resources on the application of trigonometric functions in differential equations
USEFUL FOR

Mathematics students, educators, and professionals dealing with differential equations, particularly those focusing on initial value problems and their applications in physics and engineering.

INeedHelpTY
Messages
10
Reaction score
0
y'' = B*sin(t) - y

y(0) = A (constant)
y'(0) = 0

need some help to start this off, thanks
 
Last edited:
Physics news on Phys.org
If you're solving second order linear differential equations, then you will need to know this:

http://tinyurl.com/3yuhxlh

Edited: After you changed your equation.
 
Last edited:

Similar threads

Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 33 ·
2
Replies
33
Views
4K
  • · Replies 10 ·
Replies
10
Views
2K
Replies
2
Views
1K
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
7
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K