info@clay6.com
+91-9566306857
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
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
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
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
mobile
exams
ask
sample papers
tutors
pricing
login
X
ASK
Home
>>
TN XII Math
>>
Differential Equations
Form the differential equuations by eliminating arbitary constants given in brackets against each $y=e^{mx} [m] $
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-8
Share
asked
Apr 15, 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:
If we have an equation $f(x,y,c_1,c_2,....c_n)=u$ Containing n arbitrary constant $c_1,c_2...c_n$, then by differentiating n times, we get $(n+1)$ equations in total. If we eliminate the arbitrary constants $c_1,c_2....c_n,$ we get a D.E of order n
Step 1:
$y= e^{mx}$-----(i)
$\large\frac{dy}{dx}$$=me^{mx}$-----(ii)
Step 2:
(ii) divided by (i) gives
$\large\frac{\Large\frac{dy}{dx}}{y}$$=m$
(ie) $\large\frac{y'}{y}$$=m$
$\therefore$ the $D. E$ is $y=e^{\Large\frac{y'}{y}x}$
answered
Sep 3, 2013
by
meena.p
Please
log in
or
register
to add a comment.
Related questions
Form the differential equuations by eliminating arbitary constants given in brackets against each. $y= e^{3x}(C \cos 2x +D \sin 2x ) [C , D ]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-7
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each $y=(A+Bx)^{e^{\Large 3x}} [A , B ] $
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-6
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $y=Ae^{2x} \cos (3x , +B ) [A , B ]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-9
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $y=ax^{2} +bx + c[a , b ]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-2
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $y^{2}=4ax [a]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-1
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $ y=Ae^{2x}+Be^{-5x} [A , B ]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-5
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $\large \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}$$=1 [a , b ] $
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-4
asked
Apr 15, 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
...