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0
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4.7k
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Obtain the fourier series for $f(x)=9-x^2$ in (-3,3)
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Find an analytic function $f(z)=u+iv$ cohere real part $u=\dfrac x2 \log(x^2+y^2) -y\tan^{-1} (y/x) + \sin x\cos hy $
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Show that the set {$\cos x, \cos 2x,\cos 3x,- $ } is orthogonal set over $(-\pi,\pi)$, Hence construct orthonormal set
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Find the bilinear transformation which maps the points 2, I, -2 into points 1, I, -1 by using cross ratio property.
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Find the analytic function $f(z)=u+iv$ if $3u+2v=y^2-x^2+16xy.$
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Find the orthogonal trajectories of the family of curves $e^{-x} cos y + xy = \alpha$, where $\alpha$ is the real constant in the xy plane.
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Find the image of the circle $x^2 + y^2 = 1$, under the transformation. $w = \frac{ 5- 4z}{4z - 2}$
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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State true or false with proper justification there does not exist an analytic function whose real part is $x^3-3x^(2 ) y-y^3$
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Solve differential equation by using L.T $\dfrac {d^2y}{dt^2}+ 4\dfrac {dy}{dt} + 8y=1 $ for $y(0) =0, y'(0)=1$
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Verify Laplace equation for $u = (r + \frac{a^2}{r}) cos \theta.$ Also find u and f(z).
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Obtain half range cosine series for $f(x) =x, 0 < x < \pi/2 \\= \pi-x \pi/2 < x <\pi$
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Find the Bilinear Transformation which maps the pts $1,i,-1$ of z-plane onto $i,0,-i$ of w-plane
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Verify Green's theorem for $\int\limits_c \bar F . d\vec r$ where $ \bar F =(x^2-xy)\bar i + (x^2-y^2)J$ and 'c' is the curve bounded by $ x^2=2y$ and $x=y$
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Show that the transformation $w=\dfrac {i-iz}{1+z}$ maps unit circle $|z|=1$ into real axis of w plane
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
2
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2.2k
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If the imaginary part of analytic function w = f(z) is $v = x^2 - y^2 + \frac{x}{x^2 + y^2}$
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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1.4k
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using convolution theorem find $L^{-1} [\dfrac s{(s^2+1)(s^2+4)}]$
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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1.3k
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Use Stoke's Theorem to evaluate $\int\limits_c\bar F.d\vec r$, where $\bar F=x^2 \bar i-xy\bar s $ and ,c, is square in plane z=0, bounded by x=0,y=0,x=a,y=u
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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1.5k
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Find the bilinear transformation under which 1,i,-1 from the z- plane are mapped onto 0,1,$\infty$ of w plane .
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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5.2k
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Find the image of the real axis under the transformation $w = \frac{2}{z+i}$
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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3.2k
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If u(x,y) is a harmonic function then prove that $f(z) = u_x - i u_y$ is an analytical function
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Using Gauss divergence theorem to evaluate $\int\int\limits_s\bar F.\hat n \space ds,$ where $\bar f=x\bar i+y\bar j +z\bar k $ and 's' is sphere $x^2+y^2+z^2=9$ & $\hat n$ is outward normal to 's'
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Limit state analysis - find $M_u$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Solve $(D^2-1)y=x^2sin3x$ .
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
1
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1.4k
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Find the rank of the matrix by reducing into normal form
engineering mathematics updated 3.9 years ago by 19bcs3866 • 10
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1.8k
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Find the value of k ,the expectation of X and the probability that on a given day the electric consumption is more than expected value.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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