State the order of the given ordinary differential equation.
(1 − x)y'' − 7xy' + 5y = cos x

Determine whether the equation is linear or nonlinear by matching it with (6) in Section 1.1.

2nd Order because it contains a 2nd derivative ,y''

Linear because the y term is linear, in other words the y has no exponent, nor is it inside of a log or trig function.
ex:
ln(y) or sin(y) or e^y

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keshavgandhi04 keshavgandhi04 · Answer 2 · 2022-01-28T14:13:23+01:00

The order of the given ordinary differential equation.

(1 − x)y'' − 7xy' + 5y = cos x is 2nd Order.

2nd Order because it is 2nd derivative function.

What is differential equation ?

Differential equations refers to the study of their solutions means the set of functions that satisfy each equation and the properties of their solutions.

Given : (1 − x)y'' − 7xy' + 5y = cos x

Here, according to the given differential equation is Linear In other words the y has neither Exponent nor is inside of a logarithmic or Trigonometric function.

For example:- [tex]\rm log(y) or\; sin(y) \;or\; e^y[/tex]

Therefore, The order of the given ordinary differential equation.

(1 − x)y'' − 7xy' + 5y = cos x is 2nd Order.

Learn more about Differential equations here: https://brainly.com/question/16967726

State the order of the given ordinary differential equation. (1 − x)y'' − 7xy' + 5y = cos x Determine whether the equation is linear or nonlinear by matching it with (6) in Section 1.1.

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What is differential equation ?

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State the order of the given ordinary differential equation.
(1 − x)y'' − 7xy' + 5y = cos x

Determine whether the equation is linear or nonlinear by matching it with (6) in Section 1.1.