Math, asked by Anonymous, 1 year ago

Find the order ad degree of the D.E's

Question = [(dy/dx)² + d²y/dx²]⁷/³ = d³y/dx³

Answers

Answered by shubhi9643
2

First we need to make in into a polynomial equation

so take the cube on both sides

order =3
degree= 3
hope it helps
please mark as brainliest


Anonymous: Di where are the steps ?
shubhi9643: you need them i can do that
shubhi9643: there is only one step to cube it so i skipped that i just wrote cube both sides
shubhi9643: you dont need to open the cube on lhs
Anonymous: Ok thank you Shubhi Di.
shubhi9643: my pleasure
Answered by hukam0685
2
Hello,

Highest order derivative is d³y/dx³,

So order is 3.

Now for degree: take cube both sides


[(dy/dx)² + d²y/dx²]⁷ = (d³y/dx³)^3

since in LHS by expanding the expression order do not change. Now look at RHS ,it has now power three.

power of highest order derivative is degree.

So, Order is 3 and degree is 3.

Hope it helps you.

Anonymous: Thank you Guru Ji :heart:
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