Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
mobile
exams
ask
sample papers
tutors
pricing
login
X
ASK
Home
>>
TN XII Math
>>
Differential Equations
Find the order and degree of the following differential equation: $y'+ (y'')^{2}=(x+y'')^{2}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-7
Share
asked
Apr 14, 2013
by
poojasapani_1
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1 Answer
Toolbox:
The order of a D.E is the order of the highest order derivative occurring in it. The degree of the D.E is the degree of the highest order derivative which occurs in it, after the D.E has been made free from radicals and fractions as far as derivatives are concerned.
Given $ y'+(y'')^2 =(x+y'')^2$
Simplifying,
$y'+(y'')^2=x^2 +2xy ''+(y'')^2$
$2xy''+x^2-y'=0$
Order = 2
Degree = 1
answered
Sep 3, 2013
by
meena.p
Please
log in
or
register
to add a comment.
Related questions
Find the order and degree of the following differential equation: $y'+ (y'')^{2}$=$ x( x+y'' )^{2}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-8
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the order and degree of the following differential equation: $y''$=$ (y-y')^{\frac{2}{3}}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-6
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the order and degree of the following differential equation: $y''+3y'^{2}+y^{3}$=$0$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-3
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the order and degree of the following differential equation: $y'+y^{2}$=$x$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-2
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the order and degree of the following differential equation: $\large\frac{d^{2}y}{dx^{2}}-y+(\large\frac{dy}{dx}+\frac{d^{3}y}{dx^{3}})^{\frac{3}{2}}$=$0$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-5
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the order and degree of the following differential equation: $\large\frac{d^{2}y}{dx^{2}}+x$=$\sqrt{y+\large\frac{dy}{dx}}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-4
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the order and degree of the following differential equation: $\big(\large\frac{dy}{dx}) ^{2} +x=\large\frac{dx}{dy}+x^{2}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p128
q1
q1-9
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Ask Question
Tag:
Math
Phy
Chem
Bio
Other
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
...