Write a function to solve a second-order linear ordinary differential equation with constant coefficients a, b, and c:
ay"+by'+cy = 0
with two of the three conditions: (1) y(x0) = y0, (2) y'(x0) = y'0, and (3) y(x1) = y1. 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.
Solve

Solution Stats

31 Solutions

5 Solvers

Last Solution submitted on May 31, 2026

Last 200 Solutions

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers5

Tim Chris Cleveland Are Mjaavatten David Hill

Suggested Problems

More from this Author328

Problem Tags

Community Treasure Hunt

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

Start Hunting!