Recent questions and answers in Differential Equations

Solve:\[ydx-(x+2y)^2dy=0\]

answered Oct 1, 2020 by gilledobaleros

1 answer

Solve the differential equation: dy/dx=(x+y+1)/(x+y)

answered Oct 21, 2018 by niteshp282000

1 answer

The surface area of a balloon being inflated, changes at a rate proportional to time t. If initially its radius is 1 unit and after 3 seconds it is 2 units, find the radius after time 't'.

answered Oct 7, 2018 by goyalpriyanka4567

1 answer

Form the differential equation of the family of circles having centre on $y$-axis and radius $3$ units.

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.

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

answered Nov 25, 2016 by priyanka.c

1 answer

If $y = \sin (m \sin^{-1} x),$ evaluate $(1-x) \frac{d^2y}{dx^2} - x \frac{dy}{dx} + m^2y = 0$

answered Nov 23, 2016 by priyanka.c

1 answer

Solve the differential equation $\frac{dy}{dx} = log (x+1)$

answered Nov 22, 2016 by priyanka.c

1 answer

differentiate $y = (\sin x)^x + \sin^{-1} \sqrt x$

answered Nov 21, 2016 by priyanka.c

1 answer

Differentiate $a^x$ w.r.t x, where a is a constant

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

answered Oct 17, 2016 by meena.p

1 answer

How to solve this differential equation is not exact with an integrating factor.

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.

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.

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 $

answered 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 $y(0)=0$

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: √(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

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 $

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 $y=e^x+1\qquad:\;y''-y'=0$

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 $y=x^2+2x+C\qquad:\;y'-2x-2=0$

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 $y=\cos x+C\qquad:y'+\sin x=0$

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\[y=\sqrt{1+x^2}\qquad:\;y'\;=\frac{xy}{1+x^2}\]

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 $y=Ax\qquad:\;xy'\;=\;y\;(x\neq0)$

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 $y=x\sin x\qquad:xy'=y+x\sqrt{x^2-y^2} (x\neq0\;and\;x>y\;or\;x<-y)$

answered Aug 19, 2013 by sreemathi.v

1 answer