Let z = 3 + 9i and w = 2 – 7i . Find out the following in the x + iy form. 4. z-1 – w-1

Q: Solve the following ODE c) y' + (cos x)y = cos x (1st order) d) y' +y = -2xy2 (Bernoulli Method)

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Q: 1. Express the followings in the form of x + iy where r, y E R.(choose one.) (a) 금+ 부 (b) ( + ) ( –…

A: Rationalise  all the term and calculate to get the final answer.   Actually as per the barteleby…

Q: 1 Given z1 = 2 + i and z2 = 3-4i , find Z1 1 in the form of a + ib. Z2 +

A: Given that z1=2+I and z2=3-4i

Q: Consider the following difference equation: fk k = 0, 1, 2, .... 1+ fk' fk+1 = with fo is prescribed…

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Q: Which of the following are eigenfunctions of the operator d/dx? Select all that apply. sin x None…

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Q: Suppose w = where x = e2t = 2+ sin (5t), and z = 2+ cos (6t). A ) Use the chain rule to find d as a…

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Q: Suppose A e C such that A(2 + i,3 – i) = (3 – i, 4 – 4i). Then (1) A = (1 + i) (2) A = (2 – i) (3)…

A: As per our guidelines we can solve only one question at a time. Please repost unsolved questions…

Q: 1. Evahuate the integralsin(r)e" dr.

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Q: Solve the following homogeneous ODE 2ху 8. y' = ya-x2

A: Given differential equation is an homogenous equation

Q: Which of the following characteristic equations is primitive ? Select one: а. х3 + 1 b. х3 +х+ 1 С.…

A: Option B is correct...

Q: Find the general solution for each of the following DEs i) у" — 6у" + 11у' —бу %3D 4 сos 5x + 2 y…

A: Given:

Q: Q11\ Express in the form x + (1) ei(a/2-j) (2) In(3– j) (3) sin(rt/ 4+ j2)

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Q: 3.12. Express the following in the form r(cos 0 +i sin 0), – T < 0 <T : (1 – i)(v3+ i) 4. 25 + 3 –…

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Q: Consider the following difference equation: fk k = 0, 1, 2, · . . 1+ fk' fk+1 = with fo is…

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Q: If the root of C.E. are (-2, -2, 0, ±2i) then yH = (a) A + Be-2x + Be-2* + Dcos2x + Esin2x (b) A +…

A: We have to find the following

Q: 5. Let y (sin(2r)) (nz). Find 2. Express your answer only in terms of r.

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Q: 5. EB = 33, BD = 5x - 10 and ED = 9x + 3. Find x. %3D O 2.9 5.8 OOO

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Q: 1.( ) L(t sinh t) = -A) 2.( ) Let z1,, be complex, then Arg(z, +=,) = Ar 3.( ) Let "-y'+ 2r = In (t…

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Perform the necessary operations to solve the following. Given z1 = 2 + 4i Z2 = 5e2i Z3 = 4 cis 40°…

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Q: 3. Show that the following ODE is homogeneous then solve it. 2xyy' = x2 + y?

A: 3). Given: 2xyy'=x2+y2 So, we can also write as: 2xydydx=x2+y2dydx=x2+y22xy....1 Let,…

Q: Suppose w where 2+ sin(5t), and z = 2+ cos(3t). 5t I = ex, y A) Use the chain rule to find de as a…

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Q: Write the general solution of the following Bessel equation xy`+xy'+(x² – 4)y=0

A: Given differential equation is, x2y''+xy'+x2-4y=0...1 The Bessel equation equation of a differential…

Q: 9.1. Find all values of z such that (a). e = -2, (b). e² = 1+ v3i, (c). exp(2z – 1) = 1, (d). sin z…

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Q: 2) Use completing the square to find the following: s+4 а) L-1 ans: e-2t cos2t + e¬2tsin2t (s²+4S+8)…

A: We have to answer the following... a. L-1s+4s2+4s+8b. L-12ss2+12

Q: 1 Assume that 1 < a < b_and equation is solvable. + x = Show that this * – b'

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Q: 6. Find the solution to the following IVP. (a) r- 2y = x sin (2r) – r³ + 4t, given y(n) = . %3D

A: Given equation: xdydx-2y=x5sin(2x)-x3+4x4 Condition yπ=3π42.

Q: Q1: Find the even part and the odd part of the signal: x(t) = (1+ t³) cos³ 10 t

A: We know even component =(x(t)+x(-t) )/2 Odd component= (x(t)-x(-t))/2

Q: Suppose w = + where x = e', y = 2 + sin(t), and z = 2 + cos(7t). A ) Use the chain rule to find dw…

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Q: 13. Inx /A 1 + K в 1 B x3 + K 3 ei +K D 2 am +k

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Q: The energy stored 'W' in an inductor is given by W (10 * 10-3)te-2dt %3D

A: Given query is to find the value of the integral.

Q: Let z1 = 4 + 4i and z2 = 4 – 5i. Find (in the form x + iy): (5z1 + 4z2)? +i i i

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Q: Suppose w = where ¤ = e", y = 2+ sin (3t), and z = 2+ cos (7t). %3D A) Use the chain rule to find de…

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Q: a) Compute the quotient (22 + 2i) / (2 + 2i) b) Suppose z = (In 2) + i (pi/2). Compute e^z

A: " Since you have posted two questions, we will solve first question for you. To get another question…

Q: 3. y"+16y = x cos 4x + e* sin 4x +3e 4x

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Q: Let z=3+7i and w=7−8i . Find out the following in the x+iy form.

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Q: Let A =5 [1-7i 1+ 4i] Find A* %3D 3i [1+7i l1- 4i -3il 51 5 (2) 4 30 [1-7i 1+4i 3il [1+7i 1-4i (c)…

A: We are given a matrix A of order (2×2), we need to find out A* (Transpose of matrix A) Transpose of…

Q: Express the answer of the following problems in form rciso with and -Tss下 O Z: I+i 1-i3

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Q: Find all functions ult, x) that Solve: where and u(0,2) =0 , 2u co,a) >e²

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Q: Find the real component of ln(z + 2w) if z = 18 + 8i and w=12+4i .

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Q: Q2: Find the even part xe(t) and the odd part x.(t) of the signal x(t) = (1+t³) cos 10t

A: The given function is  xt=1+t3cos10t The value of function when t becomes -t will be…

Q: 2. Find ý for each of the following. c) x³y6 +e!-* – cos(5y) = y². am

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Q: 17. Solve the following PDES: (i) (D² - DD' + D' - 1)u = cos(x + 2y) %3D

A: NOTE: You have posted multiple questions we have solved the first question for you, if there is a…

Q: 32 1 xy+- |dydx Evaluate: 2 1

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Q: [cos (T /3) ti Sin CTT /3)7, Compute Z,: Zz+ 1/2, and 2,/22.C Hint. Use their exponential forms ve'o…

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Q: 2.18 Obtain the canonical form for the following elliptic PDES: a?u a?u (a) ax? дх ду ay? a?u a?u du…

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Q: 5x Suppose that > Cna". (9 + x) n=0 Find the first few coefficients. Co = C1 = C2 ||

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Q: Given that 7(1 + h) – 7(1) = (h - 1 + cos(h), e" -e-", In(2h + 1)) for all h where -. a 7'(1 :…

A: We will use the definition of derivative to find r'(1) as shown below

Q: 0 mAD m co MCE MÃE m 3 О А О Find these MLABD=95 откВСР 6) т.спе

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