Math A285
Di↵erential Equations §2.3: Linear Equations
Instructor: Scott Northrup
, Definition: Linear Equation
A first-order di↵erential equation of the form
dy
a1 (x) + a0 (x)y = g (x)
dx
is said to be a linear equation in the variable y .
The standard form of a linear equation is obtained when we
divide both sides by a1 (x); that is
dy
+ P(x)y = f (x)
dx
Di↵erential Equations §2.3: Linear Equations
Instructor: Scott Northrup
, Definition: Linear Equation
A first-order di↵erential equation of the form
dy
a1 (x) + a0 (x)y = g (x)
dx
is said to be a linear equation in the variable y .
The standard form of a linear equation is obtained when we
divide both sides by a1 (x); that is
dy
+ P(x)y = f (x)
dx
