Give the general solution to -y + 2 ху a) Os = + Cx² b) Oy =x+Cx? c) Oy = 7x o or - d) Oyl x² + Cx- = - e) Oy = x² + Cx-2 f) None of the above.

Q: then 7(1 - а)М? + 6(1 - а) Мт %3D ВM?, 7(1 - а)т? + 6(1 — а)Мт %3D Вт?, Subtracting we obtain Y(1 –…

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Q: 2. Use the inclusion-exclusion principle to find the number of solutions to the equation r+y+: = 19,…

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Q: Use Cramer's rule to fins a solution: 3x-2y=4 6x-4y=0

A: Cramer’s rule:

Q: Determine the solution set of the matric Ax=0 where A= 1 2 3 2 3 4

A: Given the system of equation is AX=0 where

Q: 2. Solve the following Cauchy problem: Uu = Uzz -0 0, u(x,0) = x – a², u(x,0) = 4x, -00 <x < 0. %3D

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Q: Prove that (RUS) (TUW), if we know as given from the problem that: RCT and SEW Justify each line of…

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Q: Show that the Vingof CamPlex humbers Cf+so) Can be imbealaling inaring of 2x2 matvices (Mzns

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Q: 25. If mRU = (16x - 13)', mSE (11x - 24)', and M2STU = (3x + 1)', find mŠU %3D Iex-13. mSU=

A: By visuals, we can say that RS is diameter in this circle.

Q: 2. Show that c(x, t) = solves 1 ac(x, t) 2 ax ac(x, 1) ar

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Q: Solve the following IBVP: Uu = Urz + 2, 00, u(0, t) = 0, u(x, 0) = 0, u(x, 0) = 1, 0 0,

A: First we make the non homogeneous equation and boundary conditions to homogeneous equation and…

Q: Verify that det A = det B + det C, where Uj + vj U2 + v2 Uz + V3 A = A22 аз1 A32 --EE-E: A12 A22 V2…

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Q: 10- Solve the problem: Utt-4uxx = xt, 00 u(x,0) = x, 4(x,0) = 0, u(0, t) = 0, Ux(1,t) = 1+t, t20 %3D

A: Given, utt-4uxx=xt;   0&lt;x&lt;1, t&gt;0 ⋯⋯⋯⋯1ux,0=x,   utx,0=0,   0≤x≤1,⋯⋯2u0,t=0,   ux1,t=1+t,…

Q: 3.- De la figura, calcular "a°+Bo" Bo 40° За%

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Q: .3 , Ry* In y dy

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Q: a²u , a?u k x² ди at ax2 ' ay?, ||

A: In this question, we used the separation of the variable method to solve the 2-D heat flow.

Q: A Moving to another question will save this respons Quèstion 1 If y = u - 4 and u = 3x2 + 10 , find…

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Q: 2)Give of a homogeneous syatem of equatians with 2 equations and 2 unknoan's. 3), Why is cury…

A: 2) Take the system of homogeneous equations            x+y=0          x+2y=0

Q: Prove using the IVT. 2x = bx has a solution if b &gt; 2.

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Q: mple. Compute AB and BA where 1 -1 A = %3D B = -2 2 3 4

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Q: 5. If Q = ((2q+ 3)% + e®)*, then dQ/đdq is: %3D

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Q: %3D Bi'

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Q: find the length of the SPIYAIV-e'sVom 0=0 to 0=V5

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Q: Dyani wrote a proof to show that ZXWY ZYZX. What is her error? Since ZWXZ LZYW, LXZW LYWZ, and XW…

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Q: Suppose that two nondimensional quantities are exactly A chapter, express the four quantities (A+B),…

A: Given,          A=8.73       3 siginficant figuresB=1.389     4 siginficant figures

Q: To/t Integrate Ua ko To 3. Uz kg 2. eT-1

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Q: 7. If (x, y, 2) = 3xz³y – y?, find grad o at the point (1, -2, –1) Ans. - (16î + 9j + 4k)

A: The gradient of a scaler point function φ is obtained by applying the del operator ∇ to the scaler…

Q: If x, +iy,=x,+ iv, then x =y,

A: Given x1 + iy1 = x2 + iy2

Q: Calculate x - z. (Image 24 JI 8х -2 2x +1 3z z + 22

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am…

Q: Solve the following IBVP: Utt = 4uzz 0 0, u, (0, t) = u,(27, t) = 0, t>0, u(x,0) = 0, 0<I< 2n, T.…

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Q: 6. Show that (1) Cou(B1, g) = 0 (2) Cov(3o, B1) %3D

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Q: Show that the Adam-Bashforth method 3 Yn+2 = Yn+1+hf(tn+1,Yn+ 1) – hf(tn,Un) has local truncation…

A: We have to show that the Adam-Bashforth method            yn+2=yn+1+32hftn+1, yn+1-12hftn, yn…

Q: In R', the point (1, 1, 1) does not belong to the cylinder x + y = 2. Select one: True O False

A: Given problem:- In R³, the point (1, 1, 1) does not belong to the cylinder x² + y² = 2.  True  False

Q: 52х + 67y + 46z %3D 175 67х + 73у + 54z %3D 194 46х + 54y + 65z %3D 165

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Q: A - (B U C) = %3D (А - B) U (A — С) (A – B) U C Option 1 Option 4 (А- В - С) (A – B) n (A – C)

A: given , A-(B∪C)  WE HAVE TO FIND EQUIVELENT TO IT FROM GIVEN FOUR OPTION

Q: 15. In AXYZ, if ZX =ZZ, XY = 13x – 21, YZ = 8x – 6, and XZ = x + 4, find x and the measure of each…

A: given: in ∆XYZ, ∠X≅∠Z XY=13x-21YZ=8x-6XZ=x+4 we have to find x and the measure of each side. that is…

Q: Evaluate ff xydxdy over the square with corners (0,0), (1,1), (2,0) and (1, –−1) (u + v) (u - v) 2 2…

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Q: Prove that the equation * + + = 1 has no solutions in positive integers x , Y, Z.

A: x/y + y/z + z/x = 1 if x , y , z are positive integers then case 1 :  If all three numbers are…

Q: Verify that the conclusion of Clairaut's theorem is valid, that is, that uxy = uyx u = x4y3 - y3…

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Q: 14) Find mzYIJ if mZHIY = 28°, %3D MZYIJ = 139x + 1, and mZHIJ= 168x. %3D Y

A: Given : m∠HIY = 28°m ∠YIJ = 139x + 1m∠HIJ = 168x

Q: Suppose ỹ = cje (:)- + czetx () is the general solution to = Aj. What is A O We don't have enough…

A: Use given differential equation y' = A y to find it.

Q: Show that o () –1 is an implicit solution to 2 -2y on the interval (-00, 00). Inload our

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Q: Ju 20²u c² of2 (r, t) = u(x,0) = 0, ut(x,0) = 0 u(0,t) = 0 u(1,t) = 0. da2(x, t) + XX , 00,

A: Introduction: The basic method to solve a partial differential equation is the method of separation…

Q: Find the condition for the two lines to be coplanar. a1 + bjx + C7x + d, =0 = az + b2x + C2x + d2 az…

A: The given lines are    a1 +b1x+c1x+d1=0a2+b2x+c2x+d2=0a3+b3x+c3x+d3=0a4+b4x+c4x+d4=0  To examine…

Q: .Using Gauss-Jacobi, compute a solution to the problem Ax=b where 247 3 9 A = 8 4 2 7 b= 16 23

A: Here we put the augmented matrix into the reduced row echelon form. We get the required solution as…

Q: Determine the length of UT. U 3x R IS 6. 20 – x 2x Y

A: We know that, if two chords intersect each other inside a circle, then the products of their…

Q: 12) a-:]- B-[:: ind AR 3 0 3 -2 1 Find AB. %3D -2 1 0 4-3

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Q: (5x – 8)°, In ANOP, mZN mZO = (x – 5)°, and mZP = (6x + 1)°. Find m2O. -

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