Order and degree of the differential equation d4ydx4 - sin d3ydx3 - 0 are

The correct option is D 4 , not definedGiven differential equation is d^4ydx^4 + sin (d^3ydx^3 ) = 0 The highest order derivative which occurs in the ...

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Byju's Answer

Standard XII

Mathematics

Order of a Differential Equation

Order and deg...

Question

Order and degree of the differential equation $\frac{d^{4} y}{d x^{4}} + sin (\frac{d^{3} y}{d x^{3}}) = 0$ are

4, 1

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3, 1

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4, 0

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4

, not defined

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Solution

The correct option is D $4$ , not defined
Given differential equation is

$\frac{d^{4} y}{d x^{4}} + sin (\frac{d^{3} y}{d x^{3}}) = 0$

The highest order derivative which occurs in the given differential equation is $4$ .

As the given differential equation is not a polynomial equation in $\frac{d y}{d x}$ .

Hence, degree is not defined.

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Similar questions

Q. Find order and degree (if defined) of the differential equation

\frac{d^{4} y}{d x^{4}} + s i n (\frac{d^{3} y}{d x^{3}}) = 0

Q. For the following differential equation givne below indicate its order and degree (when defined)

\frac{d^{4} y}{d x^{4}} - s i n \frac{d^{3} y}{d x^{3}} = 0

For each of the differential equations given below, indicate its order and degree (if defined).

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Q. For each of the differential equation given below, indicate its order and degree (if defined).
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\frac{d^{2} y}{d x^{2}} + 5 x {(\frac{d y}{d x})}^{2} - 6 y = log x

(ii)

{(\frac{d y}{d x})}^{3} - 4 {(\frac{d y}{d x})}^{2} + 7 y = sin x

(iii)

\frac{d^{4} y}{d x^{4}} - sin (\frac{d^{3} y}{d x^{3}}) = 0

For the following differential equation givne below indicate its order and degree (when defined)

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${(\frac{d y}{d x})}^{3} - 4 {(\frac{d y}{d x})}^{2} + 7 y = s i n x$

$\frac{d^{4} y}{d x^{4}} - s i n \frac{d^{3} y}{d x^{3}} = 0$

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Order and degree of the differential equation d4ydx4+sin(d3ydx3)=0 are

The correct option is D 4, not definedGiven differential equation isd4ydx4+sin(d3ydx3)=0The highest order derivative which occurs in the given differential equation is 4.As the given differential equation is not a polynomial equation in dydx.Hence, degree is not defined.

Order and degree of the differential equation $\frac{d^{4} y}{d x^{4}} + sin (\frac{d^{3} y}{d x^{3}}) = 0$ are