Why is the equation \frac{dy}{dx}+P(x)y=Q(x) said to be standard form? Well, I know that

Layla-Rose Ellison

Layla-Rose Ellison

Answered question

2022-02-24

Why is the equation dydx+P(x)y=Q(x) said to be standard form?
Well, I know that in linear differential equation the variable and its derivatives are raised to power of 1 or 0. But I am confused where did the standard form of linear differential equation came form?
That is, why is the equation dydx+P(x)y=Q(x) said to be standard form?

Answer & Explanation

klimatskav41

klimatskav41

Beginner2022-02-25Added 4 answers

The standard form of a differential equation is
fndnydxn+fn1dn1ydxn1++f1dydx+f0y=g
for n=1, this called differential equation of the first order, i.e.
f1dydx+f0y=g
you take
dydx+py=q
while p and q are continuous functions of x, this called linear differential equation of the first order.

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