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Recent questions and answers in Differential Equations
Questions
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TN XII Math
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Differential Equations
Differential equation - Linear
answered
Nov 20, 2014
by
pady_1
2
answers
Homogeneous equation
answered
Nov 17, 2014
by
vijayalakshmi.r
1
answer
A radioactive substance disintegrates at a rate proportional to its mass. When its mass is $10 $mgm, the rate of disintegration is $0.051$ mgm per day. How long will it take for the mass to be reduced from $10$mgm to $5$mgm.$ [\log_{e}$$2=0.6931]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-6
p155
q5
answered
Sep 8, 2013
by
sreemathi.v
1
answer
The rate at which the population of a city increases at any time is propotional to the population at that time. If there were $1,30,000$ people in the city in $1960 $ and $1,60,000$ in $1990$ what population may be anticipated in $2020$.$[\log_{e}(\large\frac{16}{13})=$$.2070;$$e^{.42}=1.52]$
math
tnstate
class12
bookproblem
ch8
sec-1
exercise8-6
p155
q4
medium
jeemain
differential-equations
answered
Sep 8, 2013
by
sreemathi.v
1
answer
A cup of coffee at temperature $100^{\circ}$$C$ is placed in a room whose temperature is $15^ {\circ}$$C$ and it cools to $60^{\circ}$$C$ in $5$ minutes . Find its temperature after a further interval of $5$ minutes.
tnstate
class12
math
bookproblem
ch8
sec-1
exercise8-6
p155
q3
jeemain
difficult
modelpaper
oct-2009
answered
Sep 8, 2013
by
sreemathi.v
1
answer
The sum of Rs $1000$ is compounded continuously, the nominal rate of interest being four percent per annum. In how many years will the amount be twice the original principal ? $(\log_{e}$$2=0.6931)$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-6
p155
q2
modelpaper
oct-2006
jun-2007
jun-2008
answered
Sep 6, 2013
by
sreemathi.v
1
answer
Radium disappears at a rate propotional to the amount present .If $5\%$ of the original amount disappears in $50$ years , how much will remain at the end of $100$ years [Take $A_{0}$ as a intial amount.]
tnstate
class12
bookproblem
ch8
sec-1
exercise8-6
p155
q1
modelpaper
jun-2009
mar-2010
answered
Sep 6, 2013
by
sreemathi.v
1
answer
Solve the following differential equation; $(3D^{2}+4D+1)$$y=3e^{-\Large\frac{x}{3}}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q14
answered
Sep 6, 2013
by
sreemathi.v
1
answer
Solve the following differential equation; $(D^{2}+2D+3)$$y=\sin$$2x$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q13
answered
Sep 6, 2013
by
sreemathi.v
1
answer
Show that the equation of the curve whose slope at any point is equal to $y+2x$ and which passes through the origin is $y\;=\;2(e^{x}-x-1)$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-4
p140
q9
mar-2010
answered
Sep 6, 2013
by
meena.p
1
answer
Solve the following differential equation; $(D^{2}+5)$$y=\cos^{2}$$x$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q12
answered
Sep 6, 2013
by
sreemathi.v
1
answer
Solve the following differential equation;$(D^{2}-1)$$y=\cos$$2x-2\sin$$2x$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q11
modelpaper
mar-2007
oct-2008
jun-2009
answered
Sep 6, 2013
by
sreemathi.v
1
answer
Solve the following differential equation;$(D^{2}-6D+9)$$y=x+e^{2x}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q10
modelpaper
mar-2006
jun-2008
mar-2009
answered
Sep 6, 2013
by
sreemathi.v
1
answer
Solve the following. $(1+x^{2}) \large\frac{dy}{dx}$$+2xy\;=\; \cos$$ x$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-4
p140
q4
modelpaper
oct-2008
oct-2009
answered
Sep 6, 2013
by
meena.p
1
answer
Solve the following differential equation; $D^{2}$$y=-9\sin$$3x$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q9
answered
Sep 6, 2013
by
sreemathi.v
1
answer
Solve the following. $(y - x)\large\frac{dy}{dx}$=$a^{2}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-4
p140
q8
answered
Sep 6, 2013
by
meena.p
1
answer
Solve the following differential equation; $(D^{2}-2D-3)$$y=\sin$$x\cos$$x$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q8
answered
Sep 6, 2013
by
sreemathi.v
1
answer
Solve the following. $dx+x\;dy=e^{-y}\;\sec^{2}y\;dy$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-4
p140
q7
answered
Sep 6, 2013
by
meena.p
1
answer
Solve the following differential equation; $(D^{2}+3D-4)$$y=x^{2}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q7
answered
Sep 6, 2013
by
sreemathi.v
1
answer
Solve the following differential equation;$\large\frac{d^{2}y}{dx^{2}}$$-3\large\frac{dy}{dx}$$+2y=2e^{3x}$ when $x =\log$$2$,$y=0,$ and when $x=0,y=0$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q6
modelpaper
jun-2006
mar-2008
answered
Sep 6, 2013
by
sreemathi.v
1
answer
Solve the following. $\large\frac{dy}{dx}$$+xy\;=\;x$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-4
p140
q6
modelpaper
mar-2009
answered
Sep 6, 2013
by
meena.p
1
answer
Solve the following. $\large\frac{dy}{dx}+\frac{y}{x}$$\;=\;\sin(x^{2})$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-4
p140
q5
answered
Sep 6, 2013
by
meena.p
1
answer
Solve the following $\large\frac{dy}{dx}$=$\large\frac {y(x-2y)}{x(x-3y)}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-3
p137
q2
answered
Sep 5, 2013
by
meena.p
1
answer
Solve the following.$ \large\frac{dx}{dy}=\frac{x}{1+y^2}=\frac{\tan^{-1}}{1+y^2}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-4
p140
q3
answered
Sep 5, 2013
by
meena.p
1
answer
Solve the following. $\large\frac{dy}{dx}+\frac{4x}{x^{2}+1}$$y=\large \frac{1}{(x^{2}+1)^{2}}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-4
p140
q2
modelpaper
oct-2006
answered
Sep 5, 2013
by
meena.p
1
answer
Find the differential equation that will represent the family of all circles having centres on the X-axis and the radius is unity.
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q3
q3-4
answered
Sep 5, 2013
by
meena.p
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
answered
Sep 5, 2013
by
meena.p
1
answer
Solve the following differential equation; $(D^{2}+1)$Y=$0$ when $x=0;y=2$ and when $x=\large\frac{\pi}{2};$$y=-2$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q5
answered
Sep 5, 2013
by
sreemathi.v
1
answer
Solve the following. $\large\frac{dy}{dx}$$+y\;=\;x$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-4
p140
q1
modelpaper
mar-2008
answered
Sep 5, 2013
by
meena.p
1
answer
Solve the following differential equation;$(D^{2}-13D+12)$y$=e^{-2x}+5e^x$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q4
answered
Sep 5, 2013
by
sreemathi.v
1
answer
Find the equation of the curve passing through $(1 , 0 )$ and which has slope $1+\large\frac{y}{x}$ at $(x , y )$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-3
p137
q6
answered
Sep 5, 2013
by
meena.p
1
answer
Solve the following differential equation;$(D^{2}+14D+49)$y$=e^{-7x}+4$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q3
modelpaper
mar-2010
answered
Sep 5, 2013
by
sreemathi.v
1
answer
Solve the following $(x^{2}+y^{2})dx+3xy dy$=$0$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-3
p137
q5
modelpaper
oct-2007
answered
Sep 5, 2013
by
meena.p
1
answer
Solve the following differential equation;$(D^{2}-4D+13)$y$=e^{-3x}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q2
answered
Sep 5, 2013
by
sreemathi.v
1
answer
Solve the following differential equation; $(D^{2}+7D+12)$y$=e^{2x}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q1
answered
Sep 5, 2013
by
sreemathi.v
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}}$$=1 [a , b ] $
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-4
answered
Sep 5, 2013
by
meena.p
1
answer
Solve the following $x^{2}\large\frac{dy}{dx}$ =$ y^{2}+2xy$ given that $y=1,$ when $x=1$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-3
p137
q4
modelpaper
jun-2006
answered
Sep 5, 2013
by
meena.p
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $y=Ae^{2x} \cos (3x , +B ) [A , B ]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-9
answered
Sep 5, 2013
by
meena.p
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $y= e^{3x}(C \cos 2x +D \sin 2x ) [C , D ]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-7
answered
Sep 5, 2013
by
meena.p
1
answer
Solve the following $(x^{2}+y^{2})\;dy$ =$ xy \;dx$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-3
p137
q3
modelpaper
jun-2007
answered
Sep 4, 2013
by
meena.p
1
answer
Solve the following $\large\frac{dy}{dx}+\frac{y}{x}=\frac{y^{2}}{x^{2}}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-3
p137
q1
answered
Sep 4, 2013
by
meena.p
1
answer
Solve the following $ ydx +xdy=e^{-xy}\;dx $ if it cuts the Y- axis.
tnstate
class12
bookproblem
ch8
sec-1
exercise8-2
p133
q8
answered
Sep 4, 2013
by
meena.p
1
answer
Solve the following $(x+y)^2 \large\frac{dy}{dx}$=$1$
tnstate
class12
math
bookproblem
q8
sec-1
exercise8-2
p133
q7
jeemain
differential-equations
modelpaper
oct-2008
answered
Sep 4, 2013
by
meena.p
1
answer
Solve the following $\large\frac{dy}{dx}$$=\sin(x+y) $
tnstate
class12
bookproblem
ch8
sec-1
exercise8-2
p133
q6
answered
Sep 4, 2013
by
meena.p
1
answer
Solve the following $(x^{2}+5x+7) dy+\sqrt{9+8y-y^{2}}dx=0$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-2
p133
q5
answered
Sep 4, 2013
by
meena.p
1
answer
Solve the following $ yx^{2}dx+e^{-x}dy=0$
tnstate
class12
bookproblem
exercise8-2
ch8
sec-1
p133
q4
answered
Sep 4, 2013
by
meena.p
1
answer
Solve the following $(x^{2}-yx^{2})dy+(y^{2}+xy^{2})dx=0$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-2
p133
q3
answered
Sep 4, 2013
by
meena.p
1
answer
Solve the following $\cos^{2}xdy +ye^{\tan x }dx=0 $
tnstate
class12
bookproblem
ch8
sec-1
exercise8-2
p133
q2
answered
Sep 4, 2013
by
meena.p
1
answer
Solve the following $\sec 2x dy -\sin 5x \sec^{2} ydx=0$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-2
p133
q1
answered
Sep 4, 2013
by
meena.p
1
answer
Find the differential equation of family of straight lines $y=mx+\large\frac{a}{m}$ When $a , m, $ both are parameters.
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
q3
q3-3
asked
Apr 15, 2013
by
poojasapani_1
1
answer
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