What is the eigenvalue for the eigenfunction e^4ix of the operator ((d^2)/(dx^2))+(d/dx)−4i?

Q: Find the inverse transform of the equation below. R(s) = (S+7) / (s^2-3s-10)

A: We have to find inverse transform of R(s).  Firstly by partial fraction simplify the fraction,  Then…

Q: (s) = (1-3s) / (s^2+8s+21) A [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(-4t)] + [3*cos(sqrt(5)t)*e^ B…

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Q: solve xsinydx+(x2+1)cosydy=0

A: Given differential equation is: x siny dx+(x2+1) cosy dy=0 Use variable separable method to solve…

Q: Describe Differential Equation to Matrix Equation.

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Q: f(x) = [sin x if 0 T

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Q: 3t 台 = 2e 2セ %3D e

A: First lets put the values of theta in the equation

Q: Integrate from 0 to 2

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Q: Yn - 7yn-1+ 10 yn-2 0 with y-1 = 16 and y-2 = 5. %3D

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Q: ZA'B'C' is the image of LABC following the reflec- tion of ZABC across line (. If mZA'B'C'= + 20 and…

A: Given: m∠A'B'C'=x5+20, m∠ABC=x2+5 We know that when we take reflection of a triangle across any line…

Q: [(1-sin' 3t)-cos3t dt

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Q: 3. (x – 3)²y" + 3(x – 3)y' + y = 0, x > 3

A: Cauchy differential equation

Q: Solve the equation xydx - (x + 2y)2dy = o A ewy = cy³ (xy) B ewy = c y³ (x-y) c) exy = c y³ (x+y) D…

A: Given : Note : There is a print mistake in the given equation it must be written as : Differential…

Q: Find all values of the complex function of z for the e^(3z)=1z=x+iy

A: Its given that e3z = 1.  Given, z=x+iyWe need to sovle for z.

Q: d the eigenvalues and eigenfunctions for the following boundary value proble y" + Xy = 0 with y'(0)…

A: Given the equation y''+λy=0 with y'0=0, y'2=0. Consider the auxiliary equation,  r2+λ=0r=±λi…

Q: Solve for the general solution of the given DE: O y = (-6 + ce^(-x^2/4))^2 O y = (-6 +…

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Q: How matlab and differential equations work together?

A: Powerful computational tools like Matlab, and MATrix LABoratory are frequently used in various…

Q: Solve the system [: 16 -36 dx dt 6. -14 with the initial value 13 x(0) 5 -5e^(4t)+13e^(-3t) x(t) =…

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Q: x=12²2 ²1x X find the eigenvalues and eigenvectors -Classify the critical point (0.0) as to type

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Q: Math490 Final Exam Which of the following is a unit in Z8[x] * O 1+2x O 1+4x 2x+5 None of thechoices

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Q: USING ELGEN VALUE x' SOLve EIGEN VECIOR 2'

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Q: The absolute values is T₁, x T. = = Vr¹ cos² usinv + r¹ sin² usin¹ v + r¹ cos² v sin² v r²(cos² u +…

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Q: Solve the ODE y''+y= sinxcosx using the superposition approach

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Q: SOLve USING EGEN VALUE EIGEN VECIOR x' ニ %3D

A: Given system of differential equations is: x'=2yy'=y+zz'=2z We can write the above system of…

Q: Find f'(z) when f(z) = J, 0, if z = 0 if z = 0

A: fz=z¯ 2zif z≠00if z=0 To Find: f'z

Q: 2 x²e¬2® dx. Compute

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Q: Consider the complex function f(z)= 1/(z^2 +1)  Find the residue of f(z) at the pole z=i.

A: The residue of a function at a certain point in the complex plane is a complex number that describes…

Q: Solve [X2D2+XD+4]Y=logx. cos[2logx] in Eulers cauchys linear equations or Homogeneous linear…

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Q: äbäi 14 Q) Find dy/dx of the following :equation (x' +x)(x° - x +1) y = 17 KB/S dy/dx = - 4/x^2 O…

A: We use the Quotient Rule and  Product Rule of differentiation to find the answer of the given…

Q: Find the inverse transform of the equation below. V(s) = (1-3s) / (s^2+8s+21)

A: Here we have to use inverse laplace transformation table  b(s-a)2+b2->ea tsin(bt)       and…

Q: Use eigenfunction expansion method to solve y" +9y = sin 2x, y(0) 1, y(7)=-I.

A: The differential equation is, y''+9y=sin2x,y(0)=1,y(π)=-1. Solve the homogeneous equation y''+9y=0.…

Q: What is the resulting differential equation after the initial substitution from the appropriate 2nd…

A: The given differential equation is Lets substitute  to make the second order differential equation…