Register

order and degree

1,087 views
0 votes
0 votes

\frac{\mathrm{d} ^{3}y}{\mathrm{d} x^{3}}+4\sqrt{\left ( \frac{\mathrm{d} y}{\mathrm{d}^{^} x} \right )^{^{3}}+y^{2}}=0

The order and degree of the differential equation

(A) 3 and 2 (B) 2 and 3
(C) 3 and 3 (D) 3 and 1

User Avatar

1 Answer

0 votes
0 votes

Order is 3 and degree is 1.

Order of a differential equation is defined as the order of the highest order derivative of the dependent variable with respect to the independent variable.

Degree is the highest power (positive integral index) of the highest order derivative involved in the given differential equation.

REFERENCE

User Avatar
Voting & Accepting an answer helps improve the community
← PreviousNext →
← Previous in categoryNext in category →

Related questions

3 votes
3 votes
4 answers
1
Sanjay Sharma asked May 17, 2017
13,135 views
What is the difference between order and degree of a B-tree 
What is the difference between order and degree of a B-tree are they same or different
What is the difference between order and degree of a B-tree are they same or different
User Avatar
2 votes
2 votes
0 answers
4
dd asked Jul 4, 2017
446 views
Graph Degree sequence : Bondy and Murty : $1.1.16$
Let $d = (d_1,d_2,\dots, d_n)$ be a nonincreasing sequence of nonnegative integers, that is, $d_1 \geq d_2 \geq · · · \geq d_n \geq 0$. Show that: there is a loopless graph with degree sequence d if and only if $\sum_{i=1}^{n}d_i$ is even and $d_1 \leq \sum_{i=2}^{n}d_i$
Let $d = (d_1,d_2,\dots, d_n)$ be a nonincreasing sequence of nonnegative integers, that is, $d_1 \geq d_2 \geq · · · \geq d_n \geq 0$. Show that:there is a loopless g...
User Avatar
Link Copied!