C (7,1) and r = (x - h)2 + (y – k)2 = r2 O 0 = 1 + A+ X(q+ zA + zX

Q: 1- If y+3y = 8 then g-solution is %3D a- y+ 6 = 1 In (8-3y) = x +c a.

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Q: Determine the coefficients of the equation y-ax'+bx²+cx+d so that it will have critical points at…

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Q: 2 3 %3D x у 2|%3D5, find lg 5y 2 - 5у!. Ip q r |p 5x 1-5x| a. Given that |A| = Ir 5z 3-5zl

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Q: Q: Find the solution of x, y, z by using Gramer's Rule. 3x + 2y - z = 1 x- y+ 5z = -2 2x + y = 3

A: The given system of equation is  3x + 2y -z =1 x - y +5z =-2 2x +y =3

Q: 9. Find the particular solution of y" - 2y' + 5y = 0 y(0) = 1 and y'(0) = -2. An

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Q: 1. X 8-2y (T, S) 2x+3y = 13 2. 5x-2y =-7 (C, A) X = -2y +1 3. X=-2y-2 (N, K) 2x +5y = -7 4. Y=-19-3x…

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

Q: ) Obtain the general solution of y" + 2y + y = e² In r

A: In this question, the concept of the differential equation is applied. Differential Equation A…

Q: 3. Differentiate. a) M(u) = (1-4u²)(u+2) b) g(x)= (-x+3)(x – 10) ) p(n) = (5n+ 1)(-n² + 3) d) A(r) =…

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Q: 8. Find the general solution of (x2 + y2 + 1) dx + (x2 – 2xy) dy = А. х2 - у? - ху — 1%3D Сх В. х2 +…

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Q: Your major online bookstore is in direct competition with Amazon.com, BN.com, and BooksAMillion.com.…

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Q: The solution of the nonhomogeneous DE y" – 2y' +1 = 3e3x is y = cqe* + c2xe* + 3x y = cqe2x + c2 +…

A: We need to find the solution to the nonhomogeneous DE y''-2y'+1=3e2x⇒y''-2y'=3e2x-1. The…

Q: 6. Find the general solution of (x+ 2y- 1) dx + (x + 2y + 5) dy = 0 x - y + 6 In(7 - x - 2y) x + y -…

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Q: (b) Use Gaussian elimination to find the values of x, y and z: x+2y+3z=10 -x+y+z=0 y=z=1

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Q: The general solution of xy" - xy' + (24x* – 24 y = 0, is .a - C,xY,(2 /6x) b O C,xJ,(2 6x) +…

A: We have to find the general solution of the differential equation…

Q: а. у' +3у%38, у(0) %3D4 b. 1 xdx+dy= 0, y(0)=8 y c. senxdx+ ydy=0 y(0)= -2 d. y' +2xy2 = 0, y(0) = 3

A: y = -srqt(2+2cosx) is a solution of:

Q: Q Find the solution of x, y, z by using Gramer's Rule. 3x + 2y - z 1 x- y+5z = -2 2x + y = 3

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Q: 4) f(x, y,z) = /1– x² – y² – z²

A: Domain is the subset of R3 where the function is defined

Q: 28.If the Wronskian of any two solutions of y″ + p(t) y′ + q(t) y = 0 is constant, what does this…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: A general solution of the separable DE. y'=. =y+1 y + 1 O inly + 1 = ²2 +C Oy²+2y=x²+C 0y² + y = x²…

A: To solve the given differential equations.

Q: y = 0, is: %3D The general solution of y +xy +9x-4 Oa C,(3x) + C,Y,(3x) Ob C,XJ,(3x) +C,xJ_2(3x) Oc…

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Q: 2 3 6 + k dt V4 – t2 4+ t2 |

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: 1 B (m,n) = m-1 (1-x)"-ldx %3D

A: Concept: By definition of Beta function

Q: The solution of the IVP x dx + 2ydy30, y(0)=2 is O None of these. x3 4- y3D x3 y=21 3. y=2,1+

A: Variable separable form : If the variable of the differential equation is separated then; Rewrite…

Q: the general solution to Xy" +3xy' +y = 0 is: x>0 Select one: а. y = x-1(Acos(2Inx) + Bsin(2Inx)) b.…

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Q: W = {(x, y, z), x² +y² + z² < 1}

A: W is not a subspace

Q: = 18 z 12 + 3 y k, s is the surfuce 2x + 3y + 6z =12. Evaluate SS F. A

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Q: Show that y = In (x) is a solution of xy" + y² = 0.

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Q: 2 (4-х2 2 The integral LG. -(x² + y² ) dzdxdy is Vx² +y? -2 J-/4- 2 C[* dzdrdo .3 dzdrd0 2 •T/2 2 p³…

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Q: 1. y = x - 3x2 + 3x + 2 fonksiyonunun ,-2,2| aralığındaki en büyük ve en küçük değerini , yerel…

A: If 1st and second derivatives of a function at a point is 0, then that point is inflection point.…

Q: 1 Q4- If you have 1 then x ... And y = %3D x+iy 1+2i

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Q: 2) z = e* yz-3x yn z, = ? ( x=x(y,z) ) l(0.1,1)

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Q: Determine the particular solution. v" – 2y' + 5y = 0; v(n) = 1,v'(n) = 0 Oy- e(0.04cos(2x) -…

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Q: 6. Find the general solution of (x + 2y – 1) dx + (x + 2y + 5) dy = 0 x - y + 6 In(7 - x - 2y) x + y…

A: Answer is option D)

Q: Show whether the two equations y₁ = using the Wronskian. 12e and y2 1.2e are independent or…

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Q: 5. Find the particular solution of x²y' – 2xy = x* + 3; where y = 2 and x = 1

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The solution of the IVP t(t + 4)y + (t + 4) y =t, y(2) = 2 exists in the interv

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Q: The solution for the IVP: -00 %3D u(x, 0) = 2 x u(x, 0) = -e-x O a u(x, t) =x+ -(x+21)-e-(x-20) 4 O…

A: Known fact: For the system, utt=c2 uxx,   -∞&lt;x&lt;∞, t&gt;0ux, 0=fxutx, 0=gx The D-Alembert's…

Q: v - 2w + x + 2y - z = 6v +3w- 2x + 4y - 3z -v + 2w – 3x + 4y – 5z = Ev + 13w – 2x + 8y – z = -

A: Gauss Jordan Method: Gauss-Jordan Elimination is a method for finding the inverse of any invertible…

Q: T: P2 P2, .2 T(ax2 + bx + c) = ax² + bx +c B = {1, 1 – x, (1 - x)²} B' = {1, x , x²} v = x² – 3x +3…

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Q: f(x, y) = ln (2x) In (3y) + x - y - xy +3, then fxy(2, 2) is equal to Select one: 0 -2 None of them…

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Q: 8) Use Gaussian Elimination to solve: x +3y-z = 13 - 5z = 23 (4x-y-2z = 14 Consier 2x

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Q: x²y-y -y': у+1 ; у(3) - -1 %3D а. х3— х — Зу- Iny3 - 21 %3D с. х3 — Зх - Зу- Iny3- k d. x3 - 3x -…

A: Given that : y' = (x2y - y) /(y+1).and y(3) = -1. We solve this differential equations by using…

Q: 5. Find the particular solution of x²y' – 2xy = x* + 3; where y 2 and x = 1

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Q: 2 The general solution of y +xy+ 9x* - 4 y = 0 is: O a C,J,(3x) + C, Y,(3x) Ob. C,xJ,(3x) +…

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Q: f(x) %3 хсos x, (0 <х<2л) Zey 2n а, 3 0, а, —0, ь 3D 1-n a.

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Q: 4x 3z + y + 2z %3D 5x + 5y + 10z = 1 O has 0 solutions O has exactly 1 solution

A: We are asked to find the solution of the system.

Q: 1. E(Y,X, X2... X) (Y+Y2 +. + Yn) 2. E(IX,, X2, X) =E Y2+ + Yp) + -B(X, +X +

A: We have to show that β¯ is conditionally distributed.  To show β¯ conditionally distributed we will…

Q: Now consider the fourth-order equation Yk+4 + Yk = 0. (4.76) Its characteristic equation is (n² +…

A: Differential equation is given, we have to find the determine step.