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Recent questions tagged ch8

Solve the following differential equation; $(D^{2}+3D-4)$$y=x^{2}$

asked Apr 16, 2013 by poojasapani_1

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 $x=0,y=0$

asked Apr 16, 2013 by poojasapani_1

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$

asked Apr 16, 2013 by poojasapani_1

1 answer

Solve the following differential equation;$(D^{2}+14D+49)$y$=e^{-7x}+4$

asked Apr 16, 2013 by poojasapani_1

1 answer

Solve the following differential equation;$(D^{2}-4D+13)$y$=e^{-3x}$

asked Apr 16, 2013 by poojasapani_1

1 answer

Solve the following differential equation; $(D^{2}+7D+12)$y$=e^{2x}$

asked Apr 16, 2013 by poojasapani_1

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 $y\;=\;2(e^{x}-x-1)$

asked Apr 16, 2013 by poojasapani_1

1 answer

Solve the following. $(y - x)\large\frac{dy}{dx}$=$a^{2}$

asked Apr 16, 2013 by poojasapani_1

1 answer

Solve the following. $dx+x\;dy=e^{-y}\;\sec^{2}y\;dy$

asked Apr 16, 2013 by poojasapani_1

1 answer

Solve the following. $\large\frac{dy}{dx}$$+xy\;=\;x$

asked Apr 16, 2013 by poojasapani_1

1 answer

Solve the following. $\large\frac{dy}{dx}+\frac{y}{x}$$\;=\;\sin(x^{2})$

asked Apr 16, 2013 by poojasapani_1

1 answer

Solve the following. $(1+x^{2}) \large\frac{dy}{dx}$$+2xy\;=\; \cos$$ x$

asked Apr 16, 2013 by poojasapani_1

1 answer

Solve the following.$ \large\frac{dx}{dy}=\frac{x}{1+y^2}=\frac{\tan^{-1}}{1+y^2}$

asked Apr 16, 2013 by poojasapani_1

1 answer

Solve the following. $\large\frac{dy}{dx}+\frac{4x}{x^{2}+1}$$y=\large \frac{1}{(x^{2}+1)^{2}}$

asked Apr 16, 2013 by poojasapani_1

1 answer

Solve the following. $\large\frac{dy}{dx}$$+y\;=\;x$

asked Apr 16, 2013 by poojasapani_1

1 answer

Find the equation of the curve passing through $(1 , 0 )$ and which has slope $1+\large\frac{y}{x}$ at $(x , y )$

asked Apr 15, 2013 by poojasapani_1

1 answer

Solve the following $(x^{2}+y^{2})dx+3xy dy$=$0$

asked Apr 15, 2013 by poojasapani_1

1 answer

Solve the following $x^{2}\large\frac{dy}{dx}$ =$ y^{2}+2xy$ given that $y=1,$ when $x=1$

asked Apr 15, 2013 by poojasapani_1

1 answer

Solve the following $\large\frac{dy}{dx}$=$\large\frac {y(x-2y)}{x(x-3y)}$

asked Apr 15, 2013 by poojasapani_1

1 answer

Solve the following $(x^{2}+y^{2})\;dy$ =$ xy \;dx$

asked Apr 15, 2013 by poojasapani_1

1 answer

Solve the following $\large\frac{dy}{dx}+\frac{y}{x}=\frac{y^{2}}{x^{2}}$

asked Apr 15, 2013 by poojasapani_1

1 answer

Solve the following $ ydx +xdy=e^{-xy}\;dx $ if it cuts the Y- axis.

asked Apr 15, 2013 by poojasapani_1

1 answer

Solve the following $\large\frac{dy}{dx}$$=\sin(x+y) $

asked Apr 15, 2013 by poojasapani_1

1 answer

Solve the following $(x^{2}+5x+7) dy+\sqrt{9+8y-y^{2}}dx=0$

asked Apr 15, 2013 by poojasapani_1

1 answer

Solve the following $ yx^{2}dx+e^{-x}dy=0$

asked Apr 15, 2013 by poojasapani_1

1 answer

Solve the following $(x^{2}-yx^{2})dy+(y^{2}+xy^{2})dx=0$

asked Apr 15, 2013 by poojasapani_1

1 answer

Solve the following $\cos^{2}xdy +ye^{\tan x }dx=0 $

asked Apr 15, 2013 by poojasapani_1

1 answer

Solve the following $\sec 2x dy -\sin 5x \sec^{2} ydx=0$

asked Apr 15, 2013 by poojasapani_1

1 answer

Draw a rough sketch of the curve $y^2+1=x,x\leq 2$.Find the area enclosed by the curve and the line $x=2$.

asked Apr 15, 2013 by sreemathi.v

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.

asked Apr 15, 2013 by poojasapani_1

1 answer

Find the differential equation of family of straight lines $y=mx+\large\frac{a}{m}$ When $a , m, $ both are parameters.

asked Apr 15, 2013 by poojasapani_1

1 answer

Find the differential equation of family of straight lines $y=mx+\large\frac{a}{m}$ When $a$ is the parameter.

asked Apr 15, 2013 by poojasapani_1

1 answer

Find the differential equation of family of straight lines $y=mx+\large\frac{a}{m}$ When $m$ is the parameter.

asked Apr 15, 2013 by poojasapani_1

1 answer

Form the differential equuations by eliminating arbitary constants given in brackets against each. $y=Ae^{2x} \cos (3x , +B ) [A , B ]$

asked Apr 15, 2013 by poojasapani_1

1 answer

Form the differential equuations by eliminating arbitary constants given in brackets against each $y=e^{mx} [m] $

asked Apr 15, 2013 by poojasapani_1

1 answer

Form the differential equuations by eliminating arbitary constants given in brackets against each. $y= e^{3x}(C \cos 2x +D \sin 2x ) [C , D ]$

asked Apr 15, 2013 by poojasapani_1

1 answer

Form the differential equuations by eliminating arbitary constants given in brackets against each $y=(A+Bx)^{e^{\Large 3x}} [A , B ] $

asked Apr 15, 2013 by poojasapani_1

1 answer

Form the differential equuations by eliminating arbitary constants given in brackets against each. $ y=Ae^{2x}+Be^{-5x} [A , B ]$

asked Apr 15, 2013 by poojasapani_1

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 ] $

asked Apr 15, 2013 by poojasapani_1

1 answer

Form the differential equuations by eliminating arbitary constants given in brackets against each. $xy =c^{2} [$c$]$

asked Apr 14, 2013 by poojasapani_1

1 answer

Form the differential equuations by eliminating arbitary constants given in brackets against each. $y=ax^{2} +bx + c[a , b ]$

asked Apr 14, 2013 by poojasapani_1

1 answer

Form the differential equuations by eliminating arbitary constants given in brackets against each. $y^{2}=4ax [a]$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the order and degree of the following differential equation: $\sin x (dx + dy) =\cos x (dx - dy )$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the order and degree of the following differential equation: $\big(\large\frac{dy}{dx}) ^{2} +x=\large\frac{dx}{dy}+x^{2}$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the order and degree of the following differential equation: $y'+ (y'')^{2}$=$ x( x+y'' )^{2}$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the order and degree of the following differential equation: $y'+ (y'')^{2}=(x+y'')^{2}$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the order and degree of the following differential equation: $y''$=$ (y-y')^{\frac{2}{3}}$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the order and degree of the following differential equation: $\large\frac{d^{2}y}{dx^{2}}-y+(\large\frac{dy}{dx}+\frac{d^{3}y}{dx^{3}})^{\frac{3}{2}}$=$0$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the order and degree of the following differential equation: $\large\frac{d^{2}y}{dx^{2}}+x$=$\sqrt{y+\large\frac{dy}{dx}}$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the order and degree of the following differential equation: $y''+3y'^{2}+y^{3}$=$0$

asked Apr 14, 2013 by poojasapani_1

1 answer

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