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Questions >> CBSE XII >> Math >> Differential Equations

Form the differential equation of the family of circles in the first quadrant which touch the coordinate axes.

asked 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

asked Nov 25, 2016 by priyanka.c

1 answer

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

asked Nov 23, 2016 by priyanka.c

1 answer

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

asked Nov 22, 2016 by priyanka.c

1 answer

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

asked Nov 21, 2016 by priyanka.c

1 answer

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

asked 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

asked 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.

asked Oct 1, 2014 by hectordavid1995

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.

asked Sep 30, 2014 by hectordavid1995

1 answer

Solve $\bigg( 1 + e^{\Large\frac{x}{y}} \bigg) dx + e^{\Large\frac{x}{y}} \bigg( 1 -\large \frac{x}{y} \bigg)$ $dy= 0$

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 $y(0)=0$

asked Feb 4, 2014 by rvidyagovindarajan_1

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.

asked Jan 16, 2014 by ruku1723_1

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

1 answer

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

asked Dec 1, 2013 by rocky.rambo.771282_1

1 answer

For each of the exercises given below, verify that the given function (implicit or explicit) is a solution of the corresponding differential equation $( iv)\quad x^2=2y^2 \log y : \qquad (x^2+y^2)\large\frac{dy}{dx}$ $-xy=0$

asked Jul 30, 2013 by sreemathi.v

1 answer

Verify that the given function (implicit or explicit) is a solution of the corresponding differential equation

asked Jul 30, 2013 by sreemathi.v

1 answer

Verify that the given function (implicit or explicit) is a solution of the corresponding differential equation

asked Jul 30, 2013 by sreemathi.v

1 answer

For each of the differential equations given below,indicate its order and degree(if defined) $(iii)\;\large\frac{d^4y}{dx^4}-\sin\big(\large\frac{d^3y}{dx^3}\big)$ $=0$

asked Jul 29, 2013 by sreemathi.v

1 answer

For each of the differential equations given below,indicate its order and degree(if defined) $(ii)\;\big(\large\frac{dy}{dx}\big)^3-4\big(\large\frac{dy}{dx}\big)^2+7y=\sin x$

asked Jul 29, 2013 by sreemathi.v

1 answer

Newtons law of cooling states that the rate of change of the temperature T of an object is proportional to the difference between T and the (constant) temperature t of the surrounding medium. We can write it as $\frac{dT}{dt}=-K(T-t),K>0\; constant.$ A cup of coffee is served at $185^\circ F$ in a room where the temperature is $65^\circ F .$ Two minutes later the temperature of the coffee has dropped to $155^\circ F.$ (log 3/4=0.144, log3 = 1.09872). Find the time required for coffee to have $105^\circ F$ temperature.

asked Feb 4, 2013 by meena.p

0 answers

A curve passing through the point (1,1) has the property that the perpendicular distance of the origin from the normal at any point P of the curve is equal to the distance of p from the x-axis. Determine the equation of the curve.

asked Feb 4, 2013 by meena.p

0 answers

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'.

asked Feb 4, 2013 by meena.p

1 answer

A wet porous substance in the open air losses its moisture at a rate proportional to the moisture content. If a sheet hung in the wind loses half of its moisture during the first hour, when will it have lost 95% moisture, weather conditions remaining the same.

asked Feb 4, 2013 by meena.p

0 answers

A population grows at the rate of 8% per year. How long does it take for the population to double?

asked Feb 4, 2013 by meena.p

0 answers

When the interest is compounded continuously, the amount of money invested increases at a rate proportional to its size. If Rs.1000 is invested at 10% compounded continuously, in how many years will the original investment double itself?

asked Feb 4, 2013 by meena.p

0 answers

Solve: $\frac{xdx+ydy}{xdy-ydx}=\sqrt{\frac{a^2-x^2-y^2}{x^2+y^2}}$ (Hint : take $x=r\cos \theta,y=r \sin \theta,$ so that $x^2+y^2=r^2)$

asked Feb 4, 2013 by meena.p

0 answers

Solve: $\frac{dy}{dx}=\frac{x^2+y^2+1}{2xy},\;where\; y(1)=1$

asked Feb 4, 2013 by meena.p

0 answers

Solve: $(x^3-3xy^2)dx=(y^3-3x^2y)dy$

asked Feb 4, 2013 by meena.p

0 answers

Solve: $\frac{dy}{dx}=\frac{y^2+y+1}{x^2+x+1}=0.$

asked Feb 4, 2013 by meena.p

0 answers

Solve the differential equation : $(x^2y+y^2x)dy=(x^3+y^3)dx$

asked Feb 4, 2013 by meena.p

0 answers

Solve: $\sqrt{1-y^2}dx=[\sin^{-1}y-x]dy$

asked Feb 4, 2013 by meena.p

0 answers

Solve: $(x^3-3xy^2)dx=(y^3-3x^2y)dx$

asked Feb 4, 2013 by meena.p

0 answers

Solve: $(x^3y^3+xy)\frac{dy}{dx}=1$

asked Feb 4, 2013 by meena.p

0 answers

Solve: $\frac{dy}{dx}=\cos ^3x\sin^4x+x\sqrt {2x+1}$

asked Feb 4, 2013 by meena.p

0 answers

Solve: $\bigg[x\sqrt {x^2+y^2}-y^2\bigg]dx+xydy=0$

asked Feb 4, 2013 by meena.p

0 answers

Solve: $ydx-(x+2y)^2dy=0$

asked Feb 4, 2013 by meena.p

1 answer

Solve: $x\frac{dy}{dx}=y(log y-log x+1)$

asked Feb 4, 2013 by meena.p

0 answers

Solve: $(x+y)^2\frac{dy}{dx}=a^2$

asked Feb 4, 2013 by meena.p

0 answers

Solve: $(x+y+1)\frac{dy}{dx}=1$

asked Feb 4, 2013 by meena.p

0 answers

Show that $Ax^2+By^2=1$ is a solution of the diff. equation. $x\bigg[y\bigg(\Large\frac{d^2y}{dx^2}\bigg)+\bigg(\frac{dy}{dx}\bigg)^2\bigg]=y \frac{dy}{dx}$

asked Feb 4, 2013 by meena.p

0 answers

Form the differential equation of circles represented by $(x-\alpha)^2+(y-\beta)^2=r^2\; by \;eliminating\;\alpha\;and\;\beta$

asked Feb 4, 2013 by meena.p

0 answers

Write the order and degree of the diff. equation $\bigg(\large\frac{d^2y}{dx^2}\bigg)^{2/3}=\bigg(y+\frac{dy}{dx}\bigg)^{1/2}$

asked Feb 4, 2013 by meena.p

0 answers

Form the differential equation of the family of curves represented by the equation $(x+a)^2-2y^2=a^2$

asked Feb 4, 2013 by meena.p

0 answers

Write the order and degree of the differential equation. $\bigg[1+(y')^2\bigg]^{3/2}=y''$

asked Feb 4, 2013 by meena.p

0 answers

True-or-False: The differential equation of all non horizontal lines in a plane is $\large\frac{d^2y}{dy^2}$ $=0$ .

asked Jan 21, 2013 by sreemathi.v

1 answer

True-or-False: Solution of $x\frac{dy}{dx} - y = x\tan\frac{y}{x}$ is $\sin\bigg(\frac{y}{x}\bigg)=kx$ .

asked Jan 21, 2013 by sreemathi.v

1 answer

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