Ask
Login
TAGGED IN

Engineering Mathematics

Follow this tag to get notifications whenever a new post is added

ALL TAGS
0
votes
1
answer
404
views
1
answer
\[ if \ L[J_0 (t) ] = \dfrac {1}{\sqrt{s^2+1}} \] prove \[ \int^\infty_0 e^{-6t} t J_0 (4t) dt = 3/500 \]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
665
views
1
answer
If \[ \overline A = \nabla (xy+ yz+ zx), \ find \ \nabla\cdot \overline A \ and \ \nabla \times \overline A \]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
595
views
1
answer
Using laplace transform solve the following differential equation with given condition \[ \dfrac {d^2y}{dt^2} +y=t, \] given taht y(0)=1&y'(0)=0.
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
6
votes
1
answer
40k
views
1
answer
Find the Fourier series expansion for f(x)=|x|, in (-π, π).
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
701
views
1
answer
Prove that f(z)=x2-y+2ixy is analytic and find f'(z).
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
376
views
1
answer
Prove that \[ \int xJ_{2/3} (x^{3/2})dx = - \dfrac {2}{3} x^{-1/2}J_{-1/3}(x^{3/2}) .\]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
693
views
1
answer
Define billinear transformation, And prove that in a general, a bilinear transformation maps a circle into a circle.
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
535
views
1
answer
Using Gauss's Divergence theorem \( \iint_s \ \overline {F} .d\overline {s} \) where F2x2yi-y2j+4xz2 k and s is the region bounded by y2+z2=9 and x=2 in the first octant.
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
543
views
1
answer
Find the Fourier series if f(x)=|x|, -k
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
816
views
1
answer
Find the Fourier series if f(x)=|x|, -k
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
777
views
1
answer
Find the Fourier series if f(x)=|x|, -k
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
546
views
1
answer
Find inverse Laplace transform of the following: \[ i) \ \dfrac {S^2} {(S^2 + a^2) (S^2+b^2)} \\ ii) \ \dfrac {S+2}{S^2 -4S+13} \]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
3
votes
1
answer
8.5k
views
1
answer
If v=ex sin y, prove that v is a Harmonic function. Also find the corresponding harmonic conjugate function and analytic function.
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
562
views
1
answer
f f(x)=C1Q1(x) + C2Q2(x) + C3Q3(x)t where C1, C2, C3 constants and Q1, Q2, Q3 are orthonormal sets on (a,b), show that. \[ \int^b_a [f(x)]^2 dx = c^2_1 + c^2_2 + c^2_3. \]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
428
views
1
answer
Find the Laplace transforms of the following. \[ i) \ e^{-t} \int^t_0 \dfrac {\sin u} {u} du \\ ii) \ t \sqrt{1+\sin t} \]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
1.5k
views
1
answer
Verify Green's theorem in the plane for ∮(x2-y)dx+(2y2+x)dy Around the boundary of region defined by y=x2 and y=4.
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
512
views
1
answer
Prove that \[ J_{1/2}(x) = \sqrt{ \dfrac {2} {\pi x } }\cdot \sin x \]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
5.2k
views
1
answer
Find the Fourier series of the function f(x)=e-x. 0
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
6.8k
views
1
answer
Solve by using Laplace Transform. (D2+2D+5)y=e-t sin t, when y(0)=0, y(0)=1.
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
412
views
1
answer
Evaluate by using Laplace Transformation \[ \int^\infty_0 e^{-3x} t \cos t \ dt. \]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
989
views
1
answer
Determine the constants a,b,c,d if f(z)=x2+2axy+by2+i(dx2+2cky+y2) is analytic.
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
2.2k
views
1
answer
Determine the constants a,b,c,d if f(z)=x2+2axy+by2+i(dx2+2cky+y2) is analytic.
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
507
views
1
answer
Prove that the transformation \(w=\dfrac {1}{z+1}\) transforms the real axis of the z-plane into a circle in the w-plane.
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
485
views
1
answer
Verify Green's Theorem for \(\int_c \overline{F} \cdot \overline {dr}\) where \( \overline {F}= (x^2 - y^2)\widehat {i} + (x+y)\widehat{j}\) and C is the triangle with vertices (0,0), (1,1) and (2,1).
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
409
views
1
answer
Using Convolution theorem find \[ L^{-1} \left [ \dfrac {s^2}{(s^2+4)^2} \right ] \]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
<prev • 1,668 results • page 38 of 67 • next >