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Recent questions tagged p194

Find the equation of a curve passing through (2,1) if the slope of the tangent to the curve at any point (x,y) is $\Large \frac{x^2+y^2}{2xy}.$

asked Jan 18, 2013 by sreemathi.v

1 answer

Find the general solution of $\large \frac{dy}{dx}$$+3y=\sin 2x$

asked Jan 18, 2013 by sreemathi.v

1 answer

Solve :$\large\frac{dy}{dx}$$=\cos (x+y)+\sin (x+y)$.[Hint :Substitute x+y=z]

asked Jan 18, 2013 by sreemathi.v

1 answer

FInd the general solution of $(1+\tan y)(dx-dy)+2xdy=0$

asked Jan 18, 2013 by sreemathi.v

1 answer

Solve:$y+\large\frac{d}{dx}$$(xy)=x(\sin x+log x)$

asked Jan 18, 2013 by sreemathi.v

1 answer

Find the differential equation of system of concentric circles with centre(1,2).

asked Jan 18, 2013 by sreemathi.v

1 answer

Solve the differential equation $(1+y^2)\tan^{-1}xdx+2y(1+x^2)dy=0$

asked Jan 18, 2013 by sreemathi.v

1 answer

Form the differential equation by eliminating A and B in $Ax^2+By^2=1$.

asked Jan 18, 2013 by sreemathi.v

1 answer

Solve the differential equation $dy=\cos x(2-y\; cosec x)dx$ given that $y=2$ when $x=\Large\frac{\pi}{2}$.

asked Jan 18, 2013 by sreemathi.v

1 answer

Solve: $2(y+3)-xy\Large\frac{dy}{dx}\normalsize =0,$given that $y(1)=-2$

asked Jan 18, 2013 by sreemathi.v

1 answer

Solve: $(x+y)(dx-dy)=dx+dy.$[Hint:Substitute x+y=z after separating dx and dy]

asked Jan 18, 2013 by sreemathi.v

1 answer

Find the general solution of $y^2dx+(x^2-xy+y^2)dy=0$

asked Jan 18, 2013 by sreemathi.v

1 answer

Find the general solution of the differential equation $(1+y^2)+(x-e^{\large\tan^{-1}y})\Large \frac{dy}{dx}$=0

asked Jan 18, 2013 by sreemathi.v

1 answer

Solve: $x^2\Large \frac{dy}{dx}\normalsize =x^2+xy+y^2$

asked Jan 18, 2013 by sreemathi.v

1 answer

Find the equation of a curve passing through origin and satisfying the differential equation $(1-x^2)\Large \frac{dy}{dx}\normalsize-2xy=4x^2$

asked Jan 18, 2013 by sreemathi.v

1 answer

Form the differential equation of all circles which pass through origin and whose centers lie on y-axis as shown below:

asked Jan 18, 2013 by sreemathi.v

1 answer

Form the differential equation having $y=(\sin^{-1}x)^2+A\cos^{-1}x+B,$where A and B are arbitrary constants,as its general solution.

asked Jan 18, 2013 by sreemathi.v

1 answer

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