Question

d3x/dx3-7dy/dx-6y=0 is​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

SOLUTION

TO FILL IN THE BLANK

$\displaystyle \sf{ \frac{ {d}^{3} y}{d {x}^{3} } - 7 \frac{dy}{dx} -6y = 0 } \: \: is \: \: ..........$

CONCEPT TO BE IMPLEMENTED

DIFFERENTIAL EQUATION

A differential equation is an equation which involves differential coefficients or differentials

ORDER OF A DIFFERENTIAL EQUATION

The order of a differential equation is the order of the highest derivative appearing in it.

DEGREE OF A DIFFERENTIAL EQUATION

The degree of a differential equation is the degree of the highest derivative occuring in it after the equation has been expressed in a form free from radicals and fractions as far as the derivatives are concerned

EVALUATION

Here the given equation is

$\displaystyle \sf{ \frac{ {d}^{3} y}{d {x}^{3} } - 7 \frac{dy}{dx} -6y = 0 }$

• This is a differential equation

• The order of a differential equation is 3 since the order of the highest derivative appearing in it is 3

• The degree of a differential equation is 1 since the degree of the highest derivative occuring in it is 1

FINAL ANSWER

$\displaystyle \sf{ \frac{ {d}^{3} y}{d {x}^{3} } - 7 \frac{dy}{dx} -6y = 0 }$

is a differential equation of order 3 and degree 1

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