Problem 51387. Solve an ODE: second-order linear equation with constant coefficients
Write a function to solve a second-order linear ordinary differential equation with constant coefficients a, b, and c:
with two of the three conditions: (1)
, (2)
, and (3)
. Two of the three elements of the vector bc will be assigned numerical values, and the third will be NaN. The function should return the values of y at the specified values of x.
Equations of this form appear in many applications, such as spring-mass-damper systems, RLC circuits, small-amplitude oscillations of a pendulum, and steady advection, dispersion, and decay of a contaminant in a river or groundwater.
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers4
Suggested Problems
-
4539 Solvers
-
Project Euler: Problem 7, Nth prime
1656 Solvers
-
Solve the set of simultaneous linear equations
479 Solvers
-
Lychrel Number Test (Inspired by Project Euler Problem 55)
107 Solvers
-
Easy Sequences 2: Trigonometric function with integral input and output
39 Solvers
More from this Author314
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!