Calculus
Textbooks
Boundless Calculus
Advanced Topics in Single-Variable Calculus and an Introduction to Multivariable Calculus
Calculus Textbooks Boundless Calculus Advanced Topics in Single-Variable Calculus and an Introduction to Multivariable Calculus
Calculus Textbooks Boundless Calculus
Calculus Textbooks
Calculus

Section 6

Second-Order Linear Equations

Book Version 1
By Boundless
Boundless Calculus
Calculus
by Boundless
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Second-Order Linear Equations

A second-order linear differential equation has the form $\frac{d^2 y}{dt^2} + A_1(t)\frac{dy}{dt} + A_2(t)y = f(t)$, where $A_1(t)$, $A_2(t)$, and $f(t)$ are continuous functions.

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Nonhomogeneous Linear Equations

Nonhomogeneous second-order linear equation are of the the form: $\frac{d^2 y}{dt^2} + A_1(t)\frac{dy}{dt} + A_2(t)y = f(t)$, where $f(t)$ is nonzero.

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Applications of Second-Order Differential Equations

A second-order linear differential equation can be commonly found in physics, economics, and engineering.

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Series Solutions

The power series method is used to seek a power series solution to certain differential equations.

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