Second-Order Linear Differential Equations

Introduction to Second-Order Linear Differential Equations

A second-order linear differential equation represents the relationship between the second derivative of a function and the function itself. The general form of a second-order linear differential equation is f(t) = at^2 + bt + c where a, b, and c are constants, and t is the independent variable.

Parameter usage:

• a = coefficient of the second derivative term
• b = coefficient of the first derivative term
• c = constant term
• t = independent variable

Output:

• f(t) = value of the function at t

Data validation

The values of a, b, and c should be numbers. The value of t can be any real number.

Summary

This calculator evaluates the second-order linear differential equation for the given values of t, a, b, and c.