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Obtain complex form of Fourier series for f(x) = eax in (-l ,l).
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Prove that \[\int_0^{\infty{}}e^{-t}\dfrac{{sin}^2t}{t}dt= \dfrac{1}{4} log 5\]
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Using Laplace Transform.Solve the following differential equation with given condition (D2-4)y=3et, y(0)=0, y'(0)=3
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Find the analytic function whose real part is a=sin?2x/cosh?2y-cos?2x
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Find inverse Z-transform of F(z)=z/(z-1)(z-2), 1<|z|<2
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Verify Stoke's Theorem for- F = yzi + zxj +xyk and C is the boundary of the circle x2+y2+z2=1, z=0.
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Express the function f(x) = -ekx, for x < 0 f(x) = -ekx, for x > 0. as Fourier integral and prove that - \[\int_0^{\infty{}}\frac{wSin\ wx}{w^2+k^2}\] dw = ?/2 e-kx, if x > 0, k > 0
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Examine whether the following vectors are Linearly independent or dependent. X1 = [1,1,-1] X2 = [2,-3,5] X3 [2,-1,4]
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Find Inverse Laplcae Transform of following?- (I) 2tanh-1s (II) s+29/(s+4)(s2+9)
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Obtain Complex form of Furier Series for the function f(x)=sin ax in (-?,?) where 'a' is not an integer.
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Evaluate by Green's Theorem ? cF.dr where F= -xy(xi-yj)and 'C' is r=a(1+cos ?).
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Find Laplace transform of the following- (i) \[e^{-t}\int_0^te^ucoshu\ du\ \ \ \ \ \\] (ii) \[e^{-et}\bullet{}erf\sqrt{t}\]
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Find the Fourier series for f(x)= 4-x2 in (0,2).Hence deduce that \[\frac{{\pi{}}^2}{6}=\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+\]
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Find the Laplace Transform of Sint. H \[\left(t-\frac{\pi{}}{2}\right)-h\left(t-\frac{3\pi{}}{2}\right)\]
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Find the fourier expansion for f(x)=x in (0,2?).
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Find the fourier expansion for f(x)=x in (0,2?).
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Find the fourier expansion for f(x)=x in (0,2?).
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Find \[Z^{-1}\frac{1}{(z-2)(z-3)}\]for 2<|z|<3 using residues.
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Find \[{\ L}^{-1}\frac{s}{{\left(s^2+\ 2\right)}^2}\]using convolution theorem
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Solve the system of equation using the Gauss- Seidel method : 3x+4y+6z=6 2x+5y+4z=11 2x+y+z+=5
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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513
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Solve the system of equation using the Gauss- Seidel method : 3x+4y+6z=6 2x+5y+4z=11 2x+y+z+=5
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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715
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Find Fourier series expansion of - \[ f(x)=\left\{\begin{matrix} x &-π<x<0 \\ 0 &0<x<\dfrac {π}{2} \\ x-\dfrac {π}{2}& \dfrac {π}{2}<x,<π \end{matrix}\right. \]
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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if a,b,c are distinct real numbers such that a+b+c ≠ 0. Show that the vectors (a,b,c), (b,c,a) and (c,a,b) are linearly independent.
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Find the Fourier series expansion of f(x)=x2 in [0,2π]
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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Using Gauss Divergence Theorem evaluate \[\iint_S\vec{F}\bullet{}\hat{n}ds\ where\ \vec{F}=4x\bar{i}+3y\bar{j}-4z^2\vec{k}\] and S is the closed surface bounded the planes x=0,y=0,z=0 and 2x+2y+z=4
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
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