Given z = -5+ 3i and z2 = 3 – 6i, express in the form a + bi %3D i. 4z1* – Z2 ii. Z2

Q: Solve the general solution of the given DE: dyldx = (2y/x) + (3x/2y).* %3D

A: Suppose any linear differential equation can be written in the form of  dydx=fyx then it is a…

Q: The roots of the characteristic equation of (D2 – D+ Dy are A1 = 3 + 4i and A2 = 3 - 4i . 25 15 10 4…

A: We will find the value of the unknowns.

Q: Solve the following equation for w w2 = 5 – 12i, WE C Select one: O a. w = ±(3+ 2i) b. w = +(3 – 2i)…

A: given w2=5-12i

Q: 2. Find the general & particular solution of the DE, 4- 16 + 16y = 0 with the given that y(0) = 2…

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Q: .z = 9i124 8i154 7i116 + 6i108 4i 143 3i164+2i173 5i 135 -

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Q: II. Determine the solutions of the following DE. 1. (х — Зу + 2)dх + 3(х+ 3у — 4)dy %3D 0 2. (х — 4у…

A: (1).    The given differential equation is: (x-3y+2)dx+(3x+9y-12)dy=0

Q: A. Find the general solution of the following DE using the methods introduced in this unit unless…

A: We have to find the general solution for the following given differential equation - D2+3D-4=15ex

Q: Which of the following Diophantine equations cannot be solved? (a) 12x +4y = 40 (b) 65x + 15y 35 (c)…

A: To determine the Diophantine equation ax+by=c has a solution, identify the values of the constants…

Q: Find the general solution to the given Euler x?y" – 3xy' + 9y = 0

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Q: Solve the given Bernoulli DE: 3y' + 3y/x = 2x4y4

A: A detailed solution is given below

Q: Given the DE as 2xy² + 4 = 2(3 – x²y)y'. A. prove or disprove if the given D.E. is exact. B. If it…

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Q: Given z = 3– 4i and w = -1- 2i, compute the following and express your final answers in the fe-n a +…

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Q: Let w e H and suppose that (1+ i)w(1+ 2j) = 1+ k. nd w (your answer should be in the form a + bi +…

A: Given function is, 1+iω1+2j=1+k

Q: Given 3 y₁ = x²³₁ (0,00) is soln to x²y²-6y=0 find y₂ and show linea independence.

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Q: Determine the general solutions of the following 5. (D3 – D2+ D– 1) y = 4 sin x non homogenous…

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Q: Find all solutions z to the equation eiz = −2 − 2i.

A: Find all solutions z to the given equation.

Q: Using complexification, find the general solution of d²y dt2 dy +2- + 5y = 34 cos 2t. dt

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Q: Find the general solution to the given Euler equation. Assume x > 0 4x2y" - 16xy' + 25y = 0

A: Given:4x2y"-16xy'+25y=0Cauchy-Euler:ax2y"+bxy'+cy=0amm-1+bm+c=0

Q: x²y" – 5xy'+9y = 2x

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Q: Consider the following figure. D F OC = 8 and OE = 4 OE I CD in 00 Given: %3D Find: CD CD =

A: Answer

Q: 2 11 3. x*y" – 5xy'+9y= 2x

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Q: Reduce the following equation to a canonical form and hence solve it: 3u +10u xy +3u vy = 0 xXx ху…

A: See the solution in the given fig.

Q: Solve h=ab+rh=ab+r for a

A: Given     h= ab + rh We can solve for a by separating it

Q: Find the solution of xy" + 5xy +(4 – Ix)y = 0, x > 0 of the form where co = 1. Enter n= 1,2,3, ...

A: Let the solution of the above differential equation is given as: y=xr∑n=0∞cnxny=∑n=0∞cnxr+nThe…

Q: Find the general solution of u(x, y) for : Uxy = x A uxx + u = 0 A xuxy + 2uy 1

A: Consider the given differential equation. xuxy+2uy=1                  ……(a)

Q: When you evaluate: A B D B C None of the given choices E RIN 2 SST xsin ²(y) dy dx the results is 0…

A: The given double  integral is xSin2y, y from 0 to pi, x from 0 to 2.

Q: 1. a) Find , if y= (x² – 11)“ dx b) Express (8/30) (2Z60) in the form a+ bi c) Solve (2+3) +3/- x+iy…

A: The detailed solution is as follows below:

Q: Q1/ Consider the following equation Uxx +Ury - 2u vy +1=0 1) Determine the type of the equation. 2)…

A: Given PDE is uxx+uxy-2uyy+1=0 comparing with Auxx+Buxy+Cuyy+f=0 We have   So…

Q: Solve the following homogeneous ODE 3. y' = 2ху y² –x²

A: Given: dydx=2xyy2-x2...1 Let, y=vxSo,dydx=v+xdvdx

Q: Find the general solution of the given Attached equation

A: d2ydx2-6dydx+9y=0

Q: A. In each exercise, obtain the family of solution. 3(3x2 + y²) dx – 2xy dy = 0 %3D 1.

A: As it is a multiple type question, so according to the company policies, we can solve only the first…

Q: Find the general solution of the following ODOS: (а) x2y"-Зху'+4у3D0, х>0.

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Q: Find the general solution of the following ODE. 4y" – 25y = 0 %3D

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Q: find general solutions (for x>0) of the Euler equation x2y"+7xy'+ 25y = 0

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Q: Find the general solution of the following DE in explicit form. y' =3+2/y-3x +12.

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Q: Suppose T(z) = Find a solution to T(x) = | %3! in terms of z. Note: We are using T : C → R? such…

A: The function T is defined from complex plane to cartesian plane. T(a+bi)=a-b0.  Given the line in…

Q: Separate into real and imaginary parts and show your answer on the Argand diagram. (3–2i)(1+2i)…

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Q: Find the solution of the Euler-Cauchy equation x?y" + 0.6xy' + 16.04y = 0.

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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: 1) Rewrite c(r) = 2+5z+2 I-3 in the form y= q(x) + He where r has degree less than b.

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Given : Z= 3x'y³ – 4x*y? from the given, solve the following: a) d) az b) e) Zxy f) Zxy

A: Hello, thanks for the question. Since we only answer up to 3 sub-parts, we’ll answer the first 3.…

Q: Give the Solution of each Non – exact DE. 58) у (8х — 9у)dx + 2x(х — Зу)dy %3D0. The answer should…

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Q: 4. Given: x³y'" – 3x?y" + 6xy' – 12y = 2x* + Inx , what are the roots of the equation. A. m = 3,2 ±…

A: 4) option  D.

Q: x + 3y + z = 1 2x + 5y – z = 1 x+ 2y + 3z = 5

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Q: Perform the necessary operations to solve the following. Given z1 = 2 + 4i z2 = 5e21 Z3 = 4 cis 40°…

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Q: y" + 3y' + 2y - 10e + 4x²

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Q: ii) y"' – 6y" + 11y' – 6y = 4sin7x + 5 -

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Q: B. Find the general solution of each of the following Higher Order LDE with cc y (5) – 9y" = 27

A: We have to find general solution of given differential equation.