03:26

Evaluate lim tan3x/tan7x ,x tends to 0

03:55

Solve:(x^2+y^2+1)dx+2xydy=0

02:28

Find n th derivative if f(x)=e^3x.

08:15

Solve the differential equation cos^2xdy/dx+y=tanx

03:05

Verify y=x is solution of differential equation (1-x^2)y"-2xy'+2y=0.

14:45

Solve:dy/dx+xy=^3xy^3

23:59

Solve:x^2d^2y/dx^2-2x(1+x)dy/dx+2(x+1)y=x^3

16:35

Trace the curve y(1-x^2)=x^2

04:11

Find the asymptote of y=x^3-12x-16.

03:02

Find the equation of circle whose centre is (0,2) and radius 2√5.

13:28

Evaluate: limit (asinx-sinax)/x(cosx-cosax)

10:00

Use Cauchy's integral formula to evaluate z/(z^2-3z+2)dz where C is a circle |z-2|=1/2.

19:06

Solve: cosxd^2y/dx^2+sinxdy/dx-2ycos^3x=2cos^5

07:39

Solve:(D^2-a^2)z=x^2

10:41

Solve: r-s+p=1

08:14

If L{f(t)}=F(s) and c is any constant then shoe that L{f(t)}=1/saf(s/c).

12:43

Solve: yys+p=cos(x+y)-ysin(x+y)

09:15

find the billinera transformation of the points which maps the points -1,0,1 onto the points 0,i, 3i

22:34

If the length of a uniform chain ,suspended between two points at the same level,is adjusted so as t

02:18

Find L-1{1//s^2+25}

12:25

∂²z/∂x²-∂²z/∂y²=x-y or (D²-D'²)z=x-y

21:08

Solve d²y/dx²+2xdy/dx+(x²+1)y=x^3+3x

34:07

A uniform chain of length 2a and weight 2W is suspended from two point in same horizontal level.A w

08:58

Solve:y"+y=2sinxsin2x

05:40

Evaluate L-1[1/s^3+4s]

04:42

Find L-1{1/s²+4s}

06:33

If L{f(t)}=1/s(s²+a²),find f(t).

05:58

Classify the linear partial differential equation hence classify 4∂²u/∂x²+4∂²u/∂x∂y+∂²u/∂y²

04:59

Find the general value of log(1+i)+log(1-i).

26:22

Solve the initial value problem y"+y'=sint, where y'(0)=0,y(0)=0.

14:35

Solve:x^2p+y^2q=nxy

12:44

Solve:(D^ 2+2D+1)y=e^x+x^2-sinx

12:25

Solve:[(x+y)+az]p+[(x+u)-az]q=z(x+y)

26:41

Solve:(x^3+3xy^2)p+(y^3+3X^2y)q=2(x^2-y^2)z

11:18

Evaluate integral F.dr where F=zi+xyj-y^2k along the curve C:r(t)=t^2i+tj+√tk and t:0→1.

09:01

Compute integral ydx+zdy+xdz over the twisted cubic curve defined by r=(t,t^2,t^3) from t=0 to t=1.

12:03

Prove that the tangent plane to the cone fyz+gzx+hxy=0 are perpendicular to the generators of

08:34

Solve: xdy-ydx=(x^2+y^2)^1/2dx

08:07

Solve r=a^2t

06:44

Separate tanh-1z into real and imaginary parts.

10:18

L{t^2.cosat}

11:03

Determine the maximum and minimum of x^2+y^2-63(x+y)+12xy

23:46

Evaluate |dr/dt X d^2r/dt^2| and[dr/dt d^2r/dt^2 d^3r/dt^3],where r=(acost)i+(asint)j+(attanθ)k.

12:50

lim n→∞[1/n+n^2/(n+1)^3+n^2/(n+2)^3+...+1/8n]

08:36

For the function f(x)=2x²+1 defined in interval [-2,2] verify the Rolle's theorem

22:49

Evaluate ∫x^2dx/1+x^4 from x=0 to x=∞

15:39

If cos(x+iy)=cosα+isinα ,prove that (i) sinα=±sin^2x (ii)sinα=±sinh^2y

20:17

If y=sin-1x/√1-x^2,prove that at x=0 yn=(n-1)^2yn-2

28:05

Find the n th derivative of x/x^4+x^2+1.

15:15

Solve equations 3x+4y+5z=12,4x+3y+5z=12,x+y+z=4 using Gauss-Jordan Elimination method

05:46

If z=acosθ+iasinθ (z/z̅+z̅/z)=2cos2θ

04:32

Prove that |z-1/z̅+1|=1

05:23

If r=xi+yj+zk then curl r is equal to zero vector.

03:29

Find Laplace transform of e^3t.t^5

05:57

Find Laplace transform of costsin3t

08:50

Find the span of common catenary

04:23

For a common catenary s=csinhx/c

12:19

Cartesian Equation of Common Catenary. y=ccoshx/c

05:59

F का पुत्र J है?

04:13

निम्नलिखित में से कौन सा यह प्रदर्शित करता है कि M भतीजी की R है?