Find the particular integral of (D-1)^2 y = e^x sinx >
06 Aug 2020Find the particular integral of (D^3-1)y =e^2x >
06 Aug 2020Find the fixed points for the transformation w = (2z-5)/(z4) >
06 Aug 2020What is the value of integral over C of e^z dz where |z|=1? >
06 Aug 2020Expand f(z) = 1/z as a Taylor series about the point z=1 >
06 Aug 2020Expand f(z) = sin zin a Taylor series about z=pi/4 >
06 Aug 2020Obtain Taylor series for 1/(z1)(z3) in |z|
06 Aug 2020Evaluate double integral over 0 to 1 and 0 to x of (x^2y^2)^(1/2) by means of the transformation x-u, y = uv >
06 Aug 2020Evaluate double integral over a parallelogram bounded by xy =0, xy =2, 3x-2y =0 and 3x-2y =3 the function (xy)^2 dxdy >
06 Aug 2020Evaluate double integral over R of (xy)^2 dxdy where R is the region of parallelogram bounded by vertices (1,0) (3,1) (2,2) and (0,1) >
06 Aug 2020Evaluate double integral of (x^2y^2)exdy where R is bounded by x^2-y^2 =a: x^2-y^2 =b: 2xy =c and 2xy =d >
06 Aug 2020Evaluate double integral over R of xy dxdy over the region in the I quadrant bounded by hyperbolas x^2-y^2 = a^2 and x^2-y^2 = b^2: two circles x^2y^2 = c^2: x^2y^2 = d^2 >
06 Aug 2020Evaluate integral xyz dz dydx for x from 0 to 1, y from 0 to 2 and z from 0 to 3 >
06 Aug 2020Use suitable transformation to find the area of the region bounded by y^2 = ax, y^2 =bx, x^2 =cy and x^2 =ey, a,b,c are all positive >
06 Aug 2020Evaluate double integral 0 to a and y to a of x^2/(x^2y^2) dxdy >
06 Aug 2020Evaluate double integral (1xy)dxdy in the region bounded by the line y =x-1 and the parabola y^2 = 2x6 >
06 Aug 2020Evaluate triple integral 0 to 2, 1 to 3 and 1 to 2 xy^2 z dzdydx
06 Aug 2020Change the order of integration in the double integral 0 to 4 and 0 to 3(16-x^2)^(/1/2)/4 of xdydx >
06 Aug 2020Transform the integratin dydxdz for z from 0 to 5, x from -6 to 6 and y from -(36-x^2)^(1/2) to -(36-x^2)^(1/2) suitably to find the integral value easily >
06 Aug 2020find the volume bounded by the cylinder x^2y^2 =4, yz =4, z=0 >
06 Aug 2020Find double integral over V for 2xy dv where v is the cylinder bounded by z=4-x^2 and the planes x=0, y=0, z=0 and y=2 >
06 Aug 2020F = (2x^2-3x)i -2xyj-4xk. Find integral over V del. F where V is bounded by coordinate planes and 2x2yz =4 >
06 Aug 2020If F = 2xz i - xjy^2k , evaluate volume inegral of F over v the regin bounded by x=y=z=0 and x=y=z=1 >
06 Aug 2020F = 2x^2-3z i - 2xy j =4xk Evaluate triple integral of curl F over V the volume bounded by x=y=z=0 and 2x2yz =4 >
06 Aug 2020Evaluate integral over Volume of sphere in the I octant with centre at origin and radius 2. F = xy i -zx j k >
06 Aug 2020Using double integration find the area enclosed by y =2x^2, y^2 =4x, >
06 Aug 2020Use double integral find the area bounded by y=x and y = x^2 >
06 Aug 2020Find triple integral of xy for volume bounded by x =1, x=3, y =1/x, y=1, z=0 z^2 =xy >
06 Aug 2020Find the equation of the circular cylinder whose guiding curve is:x^2y^2z^2 =9, x-yz=3 >
06 Aug 2020Compute the entire area bounded by r^2=a^2 cos 2t >
06 Aug 2020Show that F = (6xyz^3) i (3x^20z)j(3xz^2 -y)k is irrotational and find its scalar potential >
06 Aug 2020Prove that F = (y^2 cos xz^3)i (2y sinx -4)j 3xz^2 k is irrotational and find its scalar potential. >
06 Aug 2020Find the map of the circle |z|=1 by the transformation w=z(52i) >
06 Aug 2020Find the image of the circle |z|=c by the transformation w =5z >
06 Aug 2020Find the image of the circle |z|=k under the transformation w =(1-i)z >
06 Aug 2020Find the image of the region y>1 under the transformation w = (1-i)z >
06 Aug 2020Find the transformation w = z(2-i) for the rectangle bounded by axes and x=1, y =2 >
06 Aug 2020Under the transformation w = izi, show that the half plane x>0 maps onto the half plane v>1 >
06 Aug 2020Find the image of the square region with vertex (0,0)(2,0)(2,2) (0,2) under the transformation w=(1i)z(2i) >
06 Aug 2020find the region into which the half plane y>z is mapped by thr transformation w = (1i)z >
06 Aug 2020Find the image of the circle |z-x-4i|=1 by the transformation w =(1i)z >
06 Aug 2020Find the image of |z-2i| =2 under the transformation w =1/z >
06 Aug 2020Find the image of the circle |z-1|=1 in the complex plane under the mapping w =1/z >
06 Aug 2020Find the image of half plane x>c for positive c for the transformation w=1/z >
06 Aug 2020Find image of half plane y>c when c
06 Aug 2020Find image of the infinite strip 1/4
06 Aug 2020Show that the image of the hyperbola x^2-y^2 =1 under the transformation w=1/2 is the lemniscate R^2 = cos 2 phi >
06 Aug 2020Show that the image of the circle |z-1|=1 under the transformation w =z^2 is the cardiod R = 2(1cos phi( >
06 Aug 2020Evaluate integral 0 to 2pi 1/(ab cos theta) for a>b>0 using contour integration. >
06 Aug 2020Find Laplace inverse of s/(s4)(s5) >
06 Aug 2020
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