# Second-Order Linear Differential Equations

**Formula:**`f(t) = at^2 + bt + c`

## 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`

.