I read the definition of differential equations with constant coefficient.
I am very confuse.
What does it mean? What are some example?
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Sign up to join this communityI read the definition of differential equations with constant coefficient.
I am very confuse.
What does it mean? What are some example?
A linear second-order ODE is an equation of the form $$ a(x)u''(x)+b(x)u'(x)+c(x)u = f(x), $$ where $u \colon I \to \mathbb{R}$ is the unknown defined on some interval $I \subset \mathbb{R}$, and $a$, $b$, $c$, and $f$ are given functions defined on $I$.
The equation has constant coefficients if $a$, $b$ and $c$ are constant functions throughout $I$ (but not $f$).