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Recent questions tagged p239

The particular integral of the differential equation $f(D)y=e^{ax}$ where $\;.f(D)=(D-a)g(D).g(a)\neq 0$ is

asked May 24, 2013 by poojasapani_1

1 answer

The P.L of $(3D^{2}+D-14)y=13e^{2x}$ is

asked May 24, 2013 by poojasapani_1

1 answer

The integrating factor of the differential equation $\large\frac{dy}{dx}$$-y\tan x=\cos x $ is

asked May 24, 2013 by poojasapani_1

1 answer

On putting $y=vx,$ the homogeneous differential equation $x^{2}dy+y(x+y)dx=0$ becomes

asked May 24, 2013 by poojasapani_1

1 answer

If $f '(x)=\sqrt{x}$ and $f(1)=2$ then $f(x)$ is

asked May 24, 2013 by poojasapani_1

1 answer

If $\large\frac{dy}{dx}=\frac{x-y}{x+y}$ then

asked May 23, 2013 by poojasapani_1

1 answer

The differential equation obtained by eliminating $a$ and $b$ from $y=ae^{3x}+be^{-3x}$ is

asked May 23, 2013 by poojasapani_1

1 answer

If $y=ke^{\lambda x}$ then its differential equation is

asked May 23, 2013 by poojasapani_1

1 answer

True or False: The vector equation of the line $\Large \frac{x-5}{3}\;=\frac{y+4}{7}\;=\frac{z-6}{2}$ is\[\overrightarrow{r}=(5\hat i-4\hat j+6\hat k)+\lambda(3i\;+7j\;+2k).\]

asked Jan 7, 2013 by sreemathi.v

1 answer

True or False: The line $\overrightarrow{r}=(2\hat i-3\hat j-\hat k)+\lambda(\hat i-2\hat j-2\hat k)$ lies in the plane $\overrightarrow{r}.(3\hat i-\hat j-\hat k)-2=0$

asked Jan 7, 2013 by sreemathi.v

0 answers

True or False: The angle between the planes $\overrightarrow{r}.(2\hat i-3\hat j+\hat k)=1$ and $\overrightarrow{r}.(\hat i- j)=4$ is $\cos^{-1}\Large \frac{-5}{\sqrt {58}}.$

asked Jan 7, 2013 by sreemathi.v

1 answer

True or False: The angle between the line $\overrightarrow{r}=(5\hat i-\hat j-\hat k)+\lambda(2\hat i-\hat j\;+\hat k)$ and the plane $\overrightarrow{r}.(3\hat i-4\hat j-\hat k)-5=0$ is $\sin^{-1}\large \frac{5}{2\sqrt 91}.$

asked Jan 7, 2013 by sreemathi.v

1 answer

True or False: The intercepts made by the plane $2x-3y+5z+4=0$ on the co-ordinate axis are $-2,\large\frac{4}{3},\frac{-4}{5}.$

asked Jan 7, 2013 by sreemathi.v

1 answer

True or False: The unit vector normal to the plane $x+2y+3z-6=0$ is $\large \frac{1}{\sqrt {14}}\hat i+\frac{2}{\sqrt {14}}\hat j+\frac{3}{\sqrt {14}}\hat k.$

asked Jan 6, 2013 by sreemathi.v

1 answer

The cartesian equation of the plane $\overrightarrow{r}.(\hat i\;+\hat j-\hat k)\;=2$ is ____________.

asked Jan 6, 2013 by sreemathi.v

1 answer

The vector equation of the line through the points $(3,4,-7)$ and $(1,-1,6)$ is ______________.

asked Jan 6, 2013 by sreemathi.v

1 answer

The vector equation of the line $\Large \frac{x-5}{3}\;\frac{y-4}{7}\;\frac{z-6}{2}$ is _______________.

asked Jan 4, 2013 by sreemathi.v

1 answer

The direction cosines of the vector $(2\hat i+2\hat j-\hat k)$ are ___________.

asked Jan 4, 2013 by sreemathi.v

1 answer

A plane passes through the points $(2,0,0) (0,3,0)$ and $(0,0,4)$.The equation of plane is__________.

asked Jan 4, 2013 by sreemathi.v

1 answer

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