In 18, state the order of the given ordinary differential equation. Determine whether

Chapter 1, Problem 1

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QUESTION:

In Problem, state the order of the given ordinary differential equation. Determine whether the equation is linear or nonlinear by matching it with (6).

\((1-x) y^{\prime \prime}-4 x y^{\prime}+5 y=\cos x\)

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QUESTION:

In Problem, state the order of the given ordinary differential equation. Determine whether the equation is linear or nonlinear by matching it with (6).

\((1-x) y^{\prime \prime}-4 x y^{\prime}+5 y=\cos x\)

ANSWER:

Step 1 of 2

The differential equation given is :

\((1-x) y^{\prime \prime}-4 x y^{\prime}+5 y=\cos x\)

The highest derivative present is \(y^{\prime \prime}\),

Therefore the order of the differential equation is 2. 

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