info@clay6.com
+91-9566306857
(9am to 6pm)
Ask Questions, Get Answers
Menu
X
JEEMAIN Crash
15 Test Series
NEET Crash
35 Test Series
CBSE XII
Math
JEEMAIN Premium
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET Premium
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
studyplans
JEEMAIN Crash
15 Test Series
NEET Crash
35 Test Series
CBSE XII
Math
JEEMAIN Premium
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET Premium
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
homework
mobile
exams
ask
sample papers
tutors
pricing
login
X
Want help in doing your homework? We will solve it for you. Click to know more.
ASK
Home
>>
CBSE XII
>>
Math
>>
Model Papers
Form the differential equation of the family of parabolas having vertex at the origin and axis along positive y - axis.
cbse
class12
modelpaper
2012
sec-b
q15
easy
math
Share
asked
Feb 4, 2013
by
thanvigandhi_1
retagged
Dec 2, 2013
by
sreemathi.v
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1 Answer
Need homework help?
Click here
.
Toolbox:
Equation of a parabola having vertex at origin at axis along the positive axis is $x^2 = 4ay $
Step 1:
Given: $ x^2 = 4ay$-------(1)
Differentiating on both sides we get,
$2x = 4ay'$
$x = 2ay'$
$a =\large\frac{ x}{2y'}$
Step 2:
Substituting in equ(1) we get
$x^2 = 4. [\large\frac{x}{2y'}] $$.y$
On simplifying and rearranging we get
$xy' -2y = 0$
This is the required equation
answered
Dec 2, 2013
by
sreemathi.v
Please
log in
or
register
to add a comment.
Related questions
Form the differential equation of the family of parabolas having vertex at origin at axis along positive y-axis.
cbse
class12
bookproblem
ch9
sec3
q7
p391
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Form a differential equation of the family of ellipse having foci on y - axis and centre at origin.
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Form the differential equation representing the family of ellipses having foci on x - axis and center at the origin.
cbse
class12
modelpaper
2012
sec-b
q18
easy
math
asked
Feb 9, 2013
by
thanvigandhi_1
1
answer
Find the differential equation of the family of ellipses having foci on y- axis and centre at the origin.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 24, 2013
by
thanvigandhi_1
1
answer
Form the differential equation of the family of parabolas with vertex on the x axis with symmetry axis parallel to the axis y positive and the vertex to focus distance equal to P.
maths
differential-equations
asked
Sep 30, 2014
by
hectordavid1995
1
answer
Form the differential equation of the family of ellipses having foci on $y$-axis and centre at origin.
cbse
class12
bookproblem
ch9
sec3
q8
p391
easy
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Find the particular solution, satisfying the given condition, for the following differential equation : $\large \frac{dy}{dx}-\frac{y}{x}$$+cosec \bigg( \large\frac{y}{x} \bigg)$$=0; y=0\: when \: x = 1$
cbse
class12
modelpaper
2012
sec-b
q15
medium
math
asked
Feb 17, 2013
by
thanvigandhi_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
35 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
...