Recent questions in Mathematics

Solve : $2e^{\Large\frac{x}{y}}(dx-dy)+dx-2e^{\Large\frac{x}{y}} \large\frac{x}{y}$$dy=0$

asked Feb 7, 2014 by meena.p

1 answer

Solve : $y'= 1+y^2$

asked Feb 7, 2014 by meena.p

1 answer

The two curves represents by $9yy'+4x=0,\; y(0)=2,\; yy'+x=0,\; y(0)=3$ then number of common normals for two curves will be

asked Feb 7, 2014 by meena.p

1 answer

Find solution of differential equation $(y-x+1) dy -(y+x+2)dx=0$

asked Feb 7, 2014 by meena.p

1 answer

Find solution : $(x-2y+1) dy -(3x-6y+2)dx=0$

asked Feb 7, 2014 by meena.p

1 answer

Eliminate arbitrary constant and obtain differential equation $x^2-y^2= a(x^2+y^2)^2$

asked Feb 7, 2014 by meena.p

1 answer

What is the relation between $b$ and $a$ for an hyperbola?

asked Feb 7, 2014 by sreemathi.v

1 answer

What should be the value of eccentricity for a hyperbola?

asked Feb 7, 2014 by sreemathi.v

1 answer

The locus of a point which moves in a plane such that its distance from a fixed point (i.e focus) is e times its distance from a fixed line (i.e directix).It is called as __________

asked Feb 7, 2014 by sreemathi.v

1 answer

Solve: $(3xy+y^2)dx+(x^2+xy)dy=0 \qquad y(1)=1$

asked Feb 7, 2014 by meena.p

1 answer

Find the locus of mid-points of the portions of the tangents to the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ intercepted between the axis?

asked Feb 7, 2014 by sreemathi.v

1 answer

Solve: $\large\frac{dy}{dx}=\frac{-\sqrt {1-y^2}}{x-e^{\Large\sin ^{-1}y}}$

asked Feb 7, 2014 by meena.p

1 answer

Find the locus of feet of perpendicular from the foci on and tangent to an ellipse?

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the length of sub tangent and sub-normal for an ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?

asked Feb 7, 2014 by sreemathi.v

1 answer

If the angle between the straight line joining foci and the ends of the minor axis of the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ is $90^{\large\circ}$ .Find its eccentricity?

asked Feb 7, 2014 by sreemathi.v

1 answer

The equation $\large\frac{x^2}{5-a}+\frac{y^2}{4-a}$$=1$ represent ellipse if value of 'a' belongs to what value?

asked Feb 7, 2014 by sreemathi.v

1 answer

The length of the major axis of the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ is 2 times the length of minor axis its eccentricity is :

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the value of p for which $e=\large\frac{1}{2}$ where ellipse is $\large\frac{x^2}{4}+\frac{y^2}{p^2}$$=1$?

asked Feb 7, 2014 by sreemathi.v

1 answer

Solve : $y''+e^{2y}(y')^3=0$

asked Feb 7, 2014 by meena.p

1 answer

Find the maximum area of $\Delta PSS'$ for the ellipse $\large\frac{x^2}{36}+\frac{y^2}{16}$$=1$ where S,S' are foci & P is any point on ellipse?

asked Feb 7, 2014 by sreemathi.v

1 answer

Find general solution of equation $y'-2y+a=0$ a=fixed

asked Feb 7, 2014 by meena.p

1 answer

Find the equation of chord of contact of tangents drawn from a point $(x_1,y_1)$ to the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$.

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the common tangent of $x^2+y^2=4$ and $2x^2+y^2=2$.

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the equation of director circle for ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?

asked Feb 7, 2014 by sreemathi.v

1 answer

The ecentricity of an ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ whose latus rectum is half to its major axis is e.Find the value of e?

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the length of lactus rectum and end points of lactus rectum for a ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?

asked Feb 7, 2014 by sreemathi.v

1 answer

For what value of $\lambda$ does the line $y=x+\lambda$ touches the ellipse $\large\frac{x^2}{36}+\frac{y^2}{25}$$=1$?

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the condition of tangency for a line $y=mx+c$ touches the ellipse

asked Feb 7, 2014 by sreemathi.v

1 answer

Find all values of m for which $y-e^{mx}$ is solution of equation $y'''-2y''-y'+2y=0$

asked Feb 7, 2014 by meena.p

1 answer

Find the equation of the ellipse referred to its centre whose minor axis is equal to the distance between the foci and whose latus is 10?

asked Feb 7, 2014 by sreemathi.v

2 answers

Which of following satisfy the differential equation $y'+2xy=0?$

asked Feb 7, 2014 by meena.p

1 answer

Which of the following satisfy differential equation $(1- \sin x) ^2 y''=\cos x$

asked Feb 7, 2014 by meena.p

1 answer

Find the length of major and minor axes of the ellipse $3x^2+2y^2=6$?Also find its eccentricity?

asked Feb 7, 2014 by sreemathi.v

1 answer

Find nature of curve not passing through origin for which tangent at any point P. on curve is equal to radius vector of point P.

asked Feb 7, 2014 by meena.p

1 answer

Find the equation of an ellipse whose focus is $(-1,1)$ eccentricity is $\large\frac{1}{2}$ and the directix is $x-y+3=0?$

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the position of the point (4,-3) relative to the ellipse $5x^2+7y^2=140$?

asked Feb 7, 2014 by sreemathi.v

1 answer

The largest internal for which solution of differential equation $\large\frac{dy}{dx}=\sqrt {\large\frac{1-y^2}{(1+x^2)^2}}$ where $y(0)= \large\frac{1}{\sqrt 2}$ holds good is

asked Feb 7, 2014 by meena.p

1 answer

Find the parametric form of normal for the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?

asked Feb 7, 2014 by sreemathi.v

1 answer

Find the equation of normal for ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?

asked Feb 7, 2014 by sreemathi.v

1 answer

Solve : $\log \bigg(\large\frac{1}{x}.\frac{dy}{dx}\bigg)$$=2x+5y$

asked Feb 7, 2014 by meena.p

1 answer

Form a differential equation represent family of curve given by $y= (c_1+c_2) -\sin (x+c_3)-c_4 e^{x+c_5}$

asked Feb 7, 2014 by meena.p

1 answer

Solve : $ \bigg(4 \sin ^{-1} \log \bigg(\large\frac{d^4y}{dx^4}\bigg)\bigg)^3=x+y^2$

asked Feb 7, 2014 by meena.p

1 answer

Find the order and degree of differential equation : $e^{\Large\frac{d^6y}{dx^6}}-x^2 \large\frac{d^4y}{dx^4}$$+y=0$

asked Feb 7, 2014 by meena.p

1 answer

Solve : $ x \large\frac{dy}{dx}- \frac{y}{2}$$=x(\sin ^{-1}x) y^5$

asked Feb 6, 2014 by meena.p

1 answer

Find the solution : $ (1+x^4) \large\frac{dy}{dx}$$-4x^3y =(x^5+x) \tan ^{-1} (x^2) \qquad y(1)=\pi$

asked Feb 6, 2014 by meena.p

1 answer

Solve: $ (e^x+e^{-x} )\large\frac{dy}{dx}$$=1- \large\frac{(e^x+e^{-x})^2}{(e^x-e^{-x})}$$y$

asked Feb 6, 2014 by meena.p

1 answer

Find the equation of tangent for ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?

asked Feb 6, 2014 by sreemathi.v

1 answer

Solve : $y' +\tan x.y =\tan x \quad y(\large\frac{\pi}{4})$$=1$

asked Feb 6, 2014 by meena.p

1 answer

Find the parametric form of tangent for the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}=$$1$

asked Feb 6, 2014 by sreemathi.v

1 answer

Find the coordinate of double ordinate for the ellipse $\large\frac{x^2}{a^2}+\large\frac{y^2}{b^2}$$=1$

asked Feb 6, 2014 by sreemathi.v

1 answer

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