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Recent questions and answers in Differential Equations
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CBSE XII
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Differential Equations
Form the differential equation of the family of circles having centre on $y$-axis and radius $3$ units.
cbse
class12
bookproblem
ch9
sec3
q10
p391
sec-b
math
answered
Jun 5, 2017
by
rslv8331
2
answers
Form the differential equation of the family of circles in the first quadrant which touch the coordinate axes.
cbse
class12
maths
ch9
sec-c
answered
Dec 27, 2016
by
priyanka.c
1
answer
Form the differential equation for the family of curves $y = a \sin(x+b)$ where $a \;and \; b$ are parameters
cbse
class12
maths
sec-b
ch9
answered
Nov 25, 2016
by
priyanka.c
1
answer
If $y = \sin (m \sin^{-1} x),$ evaluate $(1-x) \frac{d^2y}{dx^2} - x \frac{dy}{dx} + m^2y = 0$
cbse
class12
maths
ch9
sec-e
answered
Nov 23, 2016
by
priyanka.c
1
answer
Solve the differential equation $\frac{dy}{dx} = log (x+1)$
cbse
class12
maths
sec-e
ch9
answered
Nov 22, 2016
by
priyanka.c
1
answer
differentiate $y = (\sin x)^x + \sin^{-1} \sqrt x$
cbse
class12
maths
sec-e
ch5
answered
Nov 21, 2016
by
priyanka.c
1
answer
Differentiate $a^x$ w.r.t x, where a is a constant
cbse
class12
maths
ch5
sec-e
answered
Nov 16, 2016
by
priyanka.c
1
answer
Find the differential equation whose general solution is $y= Ae^x+Be^2x+Ce^3x+De^4x+E$ where A,B,C,D,E are constant
cbse12
math
sec-c
differential-equations
answered
Oct 17, 2016
by
meena.p
1
answer
How to solve this differential equation is not exact with an integrating factor.
differential-equations
asked
Oct 26, 2014
by
hectordavid1995
0
answers
Remove arbitrary constants from the function $x = c_1 \cos wt + c_2 \sin wt$, where $c_1, c_2$ are arbitrary constants.
maths
differential-equations
answered
Oct 1, 2014
by
balaji.thirumalai
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
answered
Sep 30, 2014
by
vijayalakshmi.r
1
answer
Solve $ \bigg( 1 + e^{\Large\frac{x}{y}} \bigg) dx + e^{\Large\frac{x}{y}} \bigg( 1 -\large \frac{x}{y} \bigg) $$dy= 0 $
jeemain
math
differential-equations
difficult
asked
Mar 13, 2014
by
balaji.thirumalai
1
answer
Solve the differential equation $\large\frac{dy}{dx}$$=cos(x+y)+sin(x+y)$ and find the particular solution if $y(0)=0$
class12
cbse
medium
sec-c
ch9
additionalproblem
math
answered
Feb 6, 2014
by
balaji.thirumalai
1
answer
Show that the general solution of the differential equation dy/dx+(y^2+y+1)/(x^2+x+1)=0 is given by (x+y+1)=A(1-x-y-2xy), where A is parameter.
answered
Jan 17, 2014
by
balaji.thirumalai
1
answer
Solve the following differential equation: âˆš(1+x^2+y^2+x^2 y^2 )+xy dy/dx=0
asked
Jan 16, 2014
by
ruku1723_1
0
answers
Solve the differential equation: dy/dx=(x+y+1)/(x+y)
asked
Jan 16, 2014
by
ruku1723_1
0
answers
Solve the differential equation: dy/dx=(x+y+1)/(x+y)
asked
Jan 16, 2014
by
ruku1723_1
0
answers
Solve the differential equation: dy/dx=(x+y+1)/(x+y)
asked
Jan 16, 2014
by
ruku1723_1
0
answers
find the differential equation of all circles which pass through the origin and whose center lies on xaxis
answered
Dec 13, 2013
by
rvidyagovindarajan_1
1
answer
Show that the differential equation is homogeneous and solve :$ \bigg( 1 + e^{\Large\frac{x}{y}} \bigg) dx + e^{\Large\frac{x}{y}} \bigg( 1 -\large \frac{x}{y} \bigg) $$dy= 0 $
cbse
class12
bookproblem
ch9
sec5
q10
p406
difficult
sec-b
math
answered
Aug 19, 2013
by
sreemathi.v
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation $y=e^x+1\qquad:\;y''-y'=0$
cbse
class12
bookproblem
ch9
sec2
q1
p385
easy
sec-a
math
answered
Aug 19, 2013
by
sreemathi.v
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation $y=x^2+2x+C\qquad:\;y'-2x-2=0$
cbse
class12
bookproblem
ch9
sec2
q2
p385
easy
sec-a
math
answered
Aug 19, 2013
by
sreemathi.v
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation $y=\cos x+C\qquad:y'+\sin x=0$
cbse
class12
bookproblem
ch9
sec2
q3
p385
easy
sec-a
math
answered
Aug 19, 2013
by
sreemathi.v
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation\[y=\sqrt{1+x^2}\qquad:\;y'\;=\frac{xy}{1+x^2}\]
cbse
class12
bookproblem
ch9
sec2
q4
p385
easy
sec-a
math
answered
Aug 19, 2013
by
sreemathi.v
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation $y=Ax\qquad:\;xy'\;=\;y\;(x\neq0)$
cbse
class12
bookproblem
ch9
sec2
q5
p385
easy
sec-a
math
answered
Aug 19, 2013
by
sreemathi.v
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation $y=x\sin x\qquad:xy'=y+x\sqrt{x^2-y^2} (x\neq0\;and\;x>y\;or\;x<-y)$
cbse
class12
bookproblem
ch9
sec2
q6
p385
easy
sec-a
math
answered
Aug 19, 2013
by
sreemathi.v
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation $xy=\log\: y+C\qquad:y'=\large\frac{y^2}{1-xy}$$\;(xy\neq1)$
cbse
class12
bookproblem
ch9
sec2
q7
p385
easy
sec-a
math
answered
Aug 19, 2013
by
sreemathi.v
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation $y-\cos y=x\qquad:\;(y\sin y+\cos y+x)y'=y$
cbse
class12
bookproblem
ch9
sec2
q8
385
medium
sec-a
math
answered
Aug 16, 2013
by
sreemathi.v
1
answer
Verify that the given function (explicit or implicit) is a solution of the corresponding differential equation
cbse
class12
bookproblem
ch9
sec2
q9
p385
medium
sec-a
math
answered
Aug 16, 2013
by
sreemathi.v
1
answer
Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation $y=\sqrt{a^2-x^2}\;x\in\;(-a,a):\;x+y\;\large\frac{dy}{dx}$$=0(y\neq0)$
cbse
class12
bookproblem
ch9
sec2
q10
p385
easy
sec-a
math
answered
Aug 16, 2013
by
sreemathi.v
1
answer
The number of arbitrary constants in the general solution of a differential equation of fourth order are
cbse
class12
bookproblem
ch9
sec2
q11
p385
easy
sec-a
math
answered
Aug 16, 2013
by
sreemathi.v
1
answer
The number of arbitrary constants in the particular solution of a differential equation of third order are
cbse
class12
bookproblem
ch9
sec2
q12
p385
easy
sec-a
math
answered
Aug 16, 2013
by
sreemathi.v
1
answer
Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b $\large\frac{x}{a}+\frac{y}{b}=1$
cbse
class12
bookproblem
ch9
sec3
q1
p391
sec-b
math
answered
Aug 16, 2013
by
sreemathi.v
1
answer
Form the differential equation representing the family of curves given by $(x-a)^2+2y^2\;=\;a^2$, where $a$ is an arbitrary constant
cbse
class12
bookproblem
ch9
misc
q3
p420
medium
sec-b
math
answered
Aug 16, 2013
by
sreemathi.v
1
answer
Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.$y^2=a(b^2-x^2)$
cbse
class12
bookproblem
ch9
sec3
q2
p391
easy
sec-b
math
answered
Aug 16, 2013
by
sreemathi.v
1
answer
Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b. $y=a\: e^{3x}+b\: e^{-2x}$
cbse
class12
bookproblem
ch9
sec3
q3
p391
medium
sec-b
math
answered
Aug 16, 2013
by
sreemathi.v
1
answer
Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b $y=e^{2x}(a+bx)$
cbse
class12
bookproblem
ch9
sec3
q4
p391
medium
sec-b
math
answered
Aug 16, 2013
by
sreemathi.v
1
answer
Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b $y=e^x(a\;\cos x+b\;\sin x)$
cbse
class12
bookproblem
ch9
sec3
q5
p391
easy
sec-b
math
answered
Aug 16, 2013
by
sreemathi.v
1
answer
Form the differential equation of the family of circles touching the \(y\) - axis at origin.
cbse
class12
bookproblem
ch9
sec3
q6
p391
easy
sec-b
math
answered
Aug 16, 2013
by
sreemathi.v
1
answer
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
answered
Aug 15, 2013
by
sreemathi.v
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
answered
Aug 15, 2013
by
sreemathi.v
1
answer
Form the differential equation of the family of hyperbolas having foci on $x$-axis and centre at origin.
cbse
class12
bookproblem
ch9
sec3
q9
p391
sec-b
math
answered
Aug 15, 2013
by
sreemathi.v
1
answer
Which of the following differential equations has $y\;=\;c_1e^x+c_2e^{-x}$ as the general solution?
cbse
class12
bookproblem
ch9
sec3
q11
p391
easy
sec-a
math
answered
Aug 15, 2013
by
sreemathi.v
1
answer
Which of the following differential equations has $y = x$ as one of its particular solution?
cbse
class12
bookproblem
ch9
sec3
q12
p391
easy
sec-a
math
answered
Aug 15, 2013
by
sreemathi.v
1
answer
Find the general solution $\large\frac{dy}{dx} $$=\sqrt {4-y^2} \; (-2\lt y \lt 2) $
cbse
class12
bookproblem
ch9
sec4
q2
p395
easy
sec-b
math
answered
Aug 15, 2013
by
sreemathi.v
1
answer
Find the general solution $\large\frac{dy}{dx}$$+y=1(y\neq1)$
cbse
class12
bookproblem
ch9
sec4
q3
p396
easy
sec-b
math
answered
Aug 15, 2013
by
sreemathi.v
1
answer
Find the general solution $\sec^2x\;\tan y\;dx+\sec^2y\;\tan x\;dy=0$
cbse
class12
bookproblem
ch9
sec4
q4
p396
medium
sec-b
math
answered
Aug 15, 2013
by
sreemathi.v
1
answer
Find the general solution $(e^x+e^{-x})\;dy-(e^x-e^{-x})\;dx=0$
cbse
class12
bookproblem
ch9
sec4
q5
p396
medium
sec-b
math
answered
Aug 15, 2013
by
sreemathi.v
1
answer
Find the general solution $\large\frac{dy}{dx}$$=(1+x^2)(1+y^2)$
cbse
class12
bookproblem
ch9
sec4
q6
p396
easy
sec-b
math
answered
Aug 15, 2013
by
sreemathi.v
1
answer
Find the general solution $y\;\log\: y\;dx-x\;dy=0$
cbse
class12
bookproblem
ch9
sec4
q7
p396
easy
sec-b
math
answered
Aug 15, 2013
by
sreemathi.v
1
answer
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