Question 3 Find the solution to 3y +2y-8y=0 with the initial values (0,2), and (0,-1)₁.

Q: C.1. Give a real general solution to the equation u'''' - 5u''' -6u'' = 0 :

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Q: Solve 3(2x – 1)° + 4(2x – 1) – 4 = 0

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Q: (2) Solve the difference equation Yn+1Yn + Yn+1 + 7yn + 16 = 0, with the initial condition Y1 = -7.

A: the solution to the given difference equation with the initial condition Y1=−7…

Q: y(4) + 18y" + 81y = 0

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Q: . Solve the yn+2+4Yn+1-5Yn coefficients = n2"+2" using method of undetermined

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Q: Find the solution. (D-3D-2)y = 0 when x 0, y = 0 and y' 9, y" = 0 a. y = 2e- (3x-2)e* b. y 2ex+…

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Q: z= - 3i is a solution of z2 +9 = 0 z2 -9 i = 0 %3D z' +3 = 0 z2 +3i = 0

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Q: Find all solutions of the z2 + 2z + (1 – i) = 0.

A: we have to find all solutions of the z2+2z+(1-i)=0 .

Q: 3.0 SOLVE BY Jacobis Method 2x + 9y = -1 4x + y = 15

A: 2x+9y = -1 4x+y = 15

Q: The equation 5z + zy = C is the general %3D Sz- 10 - A 10

A: The general solution of the differential equation: - A differential equation is an equation that…

Q: If the general solution of (2+²-3y2) y'= 2xyżsy"In|y"+xª = Cy", what is the value of b? (A) 3 B 2 -1…

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Q: Which of the following Diophantine equations can be solved? (a)12x + 14y = 31 (b) 16x + 7y = 17 89x+…

A: Diophantine equation equates to a constant the sum of two or more  monomials, each of degree  one.…

Q: Find a particular solution to

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Q: ) Find the general solution: x" - 9x = 0

A: The given differential equation is       x'' - 9x =0      Then auxiliary equation is     D2 - 9=0…

Q: Give the solution of (2x + 3y + z = −1 3x + 3y + z = 1. (2x + 4y + z = -2

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Q: 1. у" — бх+3

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Q: Which of the equations shown have infinitely many solutions? Select all that apply. А. Зх-13 3x +1…

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Q: Find the solution to an = 5an-2 — 4а, 4 with ao 3, aj = 2, a2 =6, and az = 8. Find the solution to…

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Q: Find the general solution of the fifth-order DEQ. 2x(5) – 7x(4) + 12x" + 8x" = 0

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Q: Find two solutions to 2y′′+ 5y′+ 2y= 0

A: for the homogeneous system, the auxiliary equation is given by

Q: Question2. Yn+3-4Yn+2 +5yn+1-2y = 2" linear difference equation is given. Find the general solution…

A: Given difference equation is ,         yn+3-4yn+2+5yn+1-2yn=2n And solution is given by ,…

Q: Solve for "z" 7x + 3y + 8z = 10 -8x + 1y - 5z = 18 1x - 8y + 2z = 16 Round answer to 2 decimal…

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Q: Which of the following equations can be rearranged into separable equations? Select one: а. (х + у)у…

A: (a) (x+y)y'=x-ydydx=x-yx+y Now it is difficult to separate.   (b) y'=x+y2x2+y+1dydx=x+y2x2+y+1Not…

Q: Which of the following Diophantine equations can be solved? (a)12x + 14y = 31 (b) 16x + 7y = 17…

A: A diophantine equation ax+by=c is solvable only when c is multiple of gcda,b.

Q: 3.0 SOLVE BY Jacobis Method 2x +9y = -1 4x + y = 15

A: We can solve this using jacobi method

Q: 12-4n 3. Solve n+4 n-4 O A A.-4,3 OB. -4 OC-3,4 OD. 3

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Q: (a) z + (-5, 7) = (2, 1) (b) 2+ 3i + z = -5 – i (c) z·(2, 3) = (4, 5) (d) Fi = (3, 2) -1,3)

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Q: 2) Use guessing to find particular solutions to the following equations. b) y" - 2y' - 3y = 9t².

A: Solution:  To find the particular solution of the given differential equations Using guessing method…

Q: Given y = 2ª, the equation 220+1 – 17(2") +8 = 0 can be written in the form 2y? – 17y + 8 = 0 Hence…

A: So, the given equation is: 2y2-17y+8=02y2-16y-y+8=02y(y-8)-1(y-8)=0(2y-1)(y-8)=0y=12,y=8