11:45

Find the vector equation of the intersection of the plane r.(i+3j-k)=5 and r.(2i-j+k)=3

08:41

Show that Ax2+By2=1 is the solution of x[y d2y/dx2+(dy/dx)2]=y dy/dx

16:21

Solve the differential equation (xdy-ydx) ysin(y/x)=(ydx+xdy) xcos(y/x)

01:44

RRB NTPC MATHS PROBLEM

08:40

Find the general solution of the differential equation: (1+x2)dy+2xy dx=cot x dx

08:54

Solve dy/dx=cos(x+y)+sin(x+y)

06:08

Using Beta function to evaluate the integral x5(1-x3)^10 dx

06:22

If the hyperbola x2/a2-y2/b2=1 and x2/a2-y2/b2=-1 of eccentricities e1 and e2 respectively

18:34

Find the equations to the generators of the hyperboloid x2/a2+y2/b2-z2/c2=1,pass (a cosα ,b sinα ,0)

14:41

Equations of generating lines of hyperboloid x2/4+y2/9-z2/16=1 which pass through the point (2,3,-4)

20:41

Find the equations to the generating lines of the hyperboloid x2/4+y2/9-z2/16=1 , pass (2,-1,4/3)

06:36

Upper and Lower Riemann integrals

07:27

Find the equation of tangent to the curve x=a sin^3 t , y=a cos^3 t

07:32

Find the volume of the region lying below the paraboloid z=4-x2-y2 and above the xy-plane

11:32

Find the volume of the region bounded above by the paraboloid z=9-x2-y2, below by the xy-plane,

06:48

Find the volume of the solid that lies under the paraboloid z=16-x2-y2 and above the circle x2+y2=4

05:15

Find the value of the integral sin2x/a2 cos2x+b2 sin2x

08:10

Definite integral problem

03:38

If the straight line lx+my+n=0 touches the ellipse x2/a2+y2/b2=1 then prove that a2l2+b2m2=n2

06:40

Find the differential equation of the family of curve x=a sin(y+b)

02:40

Integration problem

04:12

Integration problem

12:07

At any time t , the coterminous edges of a variable parallelepiped are represented by the vectors

06:42

If the volume of a parallelepiped whose adjacent edges are a=2i+3j+4k,

16:19

Find the equation of the sphere which touches the plane 3x+2y-z+2=0 at the point (1,-2,1) and cuts

11:09

The plane x+2y+3z=12 cuts the axes of coordinates in A, B, C. Find the equations of the circle

13:19

Lecture-9 the sphere

14:24

Find the equation of the sphere which passes through the points (1,-3,4) , (1,-5,2) , (1,-3,0) and

04:59

Find the equation of sphere whose diameter is the line joining the points (1,-2,3) and (3,-4,-5)

11:12

Find the equation of a sphere which passes through origin and intercepts lengths A,B,C on the

05:27

Find the equation of the sphere whose centre is (2,-3,4) and passes through the point (1,2,3)

06:18

A plane passes through a fixed point (p,q,r) and cuts off the axes in A,B,C . Show that the locus

15:08

A sphere of constant radius k passes through the origin and meets the axes in A, B , C .prove that

20:13

Obtain the equation of the sphere having it's centre on the line 5y+2z=0=2x-3y and passing through

15:54

Find the equation of the sphere whose centre is (2 , -3 , 4 ) and radius is 5

11:34

Orthogonal trajectories problem

09:51

If r=xi+yj+zk, show that (i) grad r =r/r ,(ii) grad(1/r)=-r/r3 , differentiation of vector

13:12

Solve (2D3-7D2+7D-2)y=e^-8x

23:46

Beta and gamma functions problem

15:38

Laplace transforma Lecture -2

05:55

Laplace transform problem

11:51

Complex Integration (line integral) upsc IFos pyq maths 2020 paper-2

05:41

find the equation of curve passing through the point (-2,3) , given that the slope of the tangent

16:53

Jacobians

07:06

solve the differential equation dy/dx-y=y2(sinx+cosx)

08:48

obtain the singular solution of the differential equation y2-2pxy+p2(x2-1)=m2 , p=dy/dx

04:21

obtain the curve which passes through (1,2) and has a slope =-2xy/x2+1 .obtain one asymptote to

22:02

obtain the equation of sphere on which the intersection of the plane 5x-2y+4z+7=0 with the sphere

06:42

The remainder when 7^103 is divided by 23

05:04

find the singular solution of the differential equation p3+px-y=0

02:49

find the value of the integral , limit of integral is 0 to π (sin^2{x/2}-cos^2{x/2})dx

03:34

integration

04:57

if x=siny then prove that (1-x2) d2y/dx2=x dy/dx

04:48

if x=a cos^2(2t) and y=a sin^2(2t) then find dy/dx

16:55

vector calculus upsc pyq maths optional 2009

15:41

find the area enclosed by the curve in which the plane z=2 cuts the ellipsoid x2/25 +y2+z2/5=1

06:43

if  √ x+y + √ y-x=c , find d2y/dx2 , upsc IFos maths optional pyq 2015

11:13

Reduce the equation x2p2+y(2x+y)p+y2=0 to clairaut's form by the substitution y=u and xy=v

13:24

solve the equation completely x2p2+yp(2x+y)+y2=0

22:53

find the curvature and torsion of the curve; x=a cost , y=a sint , z=bt