Verify by substitution that the given values of x are solutions tox a. 6- iV3 12r + 39 = 0. b. 6 + iV3

Q: Determine the solution(s) to x that satisfy the following equation: (x² + 5x + 5)(x²-6x+5) = 1

A: If x2-6x+5=0 and x2+5x+5≠0 then x2-6x+5=(x-5)(x-1)=0 this implies x=5 and 1. If x2+5x+5=1 then…

Q: 3. Which of the following points is the solution to the given 2x + y23 and y2 - 2x + 1 a. (0,0) c.…

A: Given query is to find the solution of the system of inequality. We will use graphic utility to find…

Q: Mrs. Sanders asked the class to solve for x. What answer should the students come up with? 2x 4x-2 2…

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Q: For each value of y, determine whether it is a solution to 24 =3y. Is it a solution? y Yes No 10 21

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Q: 18. x²y' = 1 – x² + y² – x²y²

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Q: Nhat are the solutions of the following equation? D--x² +21x-98 O Ax= -14 and X=7 O B.x= - 49 and…

A: -x2+21x-98=0

Q: Which of the following is a general solution to the DE y = 3x? +5? A y= x3 + 5x + C B y=x3 + C ©…

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Q: Which of the following is the best form (no redurdant terms) of the particular solution when using…

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Q: 7. y' = xy³ (1+ x?)i ;y(0) = 1 2

A: Solve the given problem.

Q: Solve the following IVP: y'+ 3y = 2xe^(−2x) , y(0) = 3

A: See the attachment

Q: (3x2 – 2y²)y' = 2xy; y(0) = –1

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Q: Solve the following problem and choose the best answer. Question x²y? - r²s² = O (xy- rs)? ху O (xy…

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Q: Solve (yx-2x^4)p+ (2y^4 - x³y)q = 9z(x? - y^3)

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Q: :-Solve the following equations (choose tow only):- 1: x²y=- 2xy + 2y = 2x³ ex

A: Solution of the cauchy Euler's differential equation

Q: By direct substitution, show that y = Jo(x) is a solution of the DE: x²y" + xy' + x²y = 0

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Q: Find the general solution of the following IVP: y"- 2y' +y = 0 ,y(0) = 5, y'(0) = 10.

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Q: Answer in complete solution: Given A = xD + 3, B = xD – 2, prove or disprove AB = BA.

A: We have to prove or disprove AB = BA.

Q: Find the particular solution of ?′′′ − 6 y′′ + 11 y′ − 6y = 0 given that when x = 0, y = 4, y′ =…

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Q: Assume r is a positive number greater than 1. Is the solution of the following equation positive or…

A: Given , r is a positive number greater than 1r>1

Q: Determine the solution(s) to x that satisfy the following equation: (x² + 5x + 5)(x²-6x+5) = 1 HINT:…

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Q: For each value of W, determine whether it is a solution to - 3 = 4w + 5. Is it a solution? ? Yes No…

A: Simply putting the value in the equation gives us the answer.

Q: (7) Find the general solution to y' = (x + y + 1)? Write your final answer as an explict solution of…

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Q: (1–3)* (t³ -8) t + 2 4. 2-t

A: Given problem:- y= (1-3)5(t3-8)/(2-t)  To find:-  find derivative of given function

Q: Determine & state the solution set for x in the following equation: Vx+1 -1= x

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Q: Find the solution of the following equations. 5. given x(t) = t3+3 - u²x(t- u)du

A: Given: xt=t3+3-∫0tu2xt-udu

Q: Find the solution set of 3(x - 2) < 1, where x e {1,2,3,45.6}

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Q: 2- Solve the following equation: Utt = c?uxx +, u(0, t) = u(2, t) = 0 u(x,0) = x? ,u; (x, 0) = e*

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Q: Given another equation x- y = 2 2.2.1 Put x = 0 and solve fory

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Q: Which of the following is a general solution to the DE y = 3x2 +5? A y=6x+C B y= x3 + C © y=3x²+ C D…

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Q: Given that A ABC A DEF, solve for x and y. D. 9. y 4. >F B 5 E С Е 3. k here to

A: Here ∆ABC ~∆DEF .  we solve for x and y

Q: Find the general solution of the following 9. (25D² – 30D + 9)y = 0

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Q: Indicate all the values of a, b, c, d, e and f for which the equation has a solution. a,b,c,d,e,f…

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Q: Use an appropriate substitution to solve the equation ry +y = -6ry, and find the solution that…

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Q: y" + 2y' – 3y = 3t - t+ 5, y(0) = 0, y'(0) = 0|

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Q: Solve the following IVP 3y"-3y'+2y=0, y(0)=2, y'(0)=0

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Q: Let p, q, and r be true, false and false, respectively. Which of the following is true? Show your…

A: Given a.) p→q∧~r   b.) q↔p∧r

Q: Which of the following represents the solution set to 2x +8.x-1=0? (1) –2+6V2 V14 (3) -2+ (2) –413/7…

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Q: Determine whether the ordered pairs (1,4) and 5, 22 are solutions of the following equation. - 5x +…

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Q: c)If ASFC-AM/Y, solve for I. 16 22.4 36

A: We have given ∆SFC is similar to ∆AFY it means AYSC=FAFSFA=16AY=x+6FS=FA+AS=16+22.4=38.4SC=36

Q: Find the solution set to |(x − 1)(x − 2)| = (2 − x)(1 − x) (a) (−∞, 1] (b) [3, ∞0) (c) [1, 3] (d)…

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Q: A student solved the following equation algebraically and identified x = -1 and x = -6 as solutions.…

A: Solve the equation and check the given solution is correct or not

Q: Solve the following difference equations: Yn+25yn+1 + 6yn = 0.5", yo = y₁ = 0

A: Given difference equation is yn+2-5yn+1+6yn=0.5n Also given y0=y1=0   To Solve: The given difference…

Q: Solve the following IVP. 2y" + y' + 2y = g(t), y(0) = 0, y'(0) = 0 where 5 st< 20, g(t) = 0 st< 5…

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Q: Verify by substitution that the given values of x are solutions to the given equation. x- 6x+ 16 = 0…

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Q: If ACDE = AGHF, solve for x. D (4r – 12)° | А. 16 В. 17 52° E С. 21 G D. 24 C 72° F H

A: In this question we have to find the value of x.

Q: If AAED ALTN, Solve for x. x + 3 N< 8 14, T. D A Зх - 16

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Q: Given ARWS = ATUV, find the values of x and y. 20 3y + 7 V 29 25 15 (8r-27) What equation solves for…

A: ∆RWS≅∆TUV According to similarity properties . ∴ RWTU=WSUV=RSTV  ∠R = ∠T∠W = ∠U =90°∠S =∠V = 29°

Q: Find the complete solution of (i) p2 + q? = 4x + 4y (ii) 3p2 – 2q2 = 4pq

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Q: Find the Values of a anl b such that 4=an, is the auswero arb to the equatian and then Solve the…

A: 1