(1) (4 36+22b -16 (7) yy +29y+80 Solution: (O 3n?+7n-20

Q: 3. Find all solutions of the system: X1 + бх2 + 2хз — 5х4 — 2х5 — —4 2xз — 8х4 — хs 3 3 X5 = 7

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Q: 4. Find the general solution of y(4) – 3y" – 2y" + 2y' + 12y = 0 (4)

A: Given that  y""-3y"'-2y"+2y'+12y=0 To find the general solution

Q: 1 Find the general form of solution of the first order equation U + 2u, = (x – 2t)u + 2t2 + 3tx -…

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Q: 2) [3 Solve the IVP: y" - 6y + 8y = 0, y(0) = 0, y' (0) = 2.

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Q: 1. Solve by Gauss elimination 3x-y+z=-2 X+5y+2z=6 2x+3y+z=0

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Q: What is the solution to 3y² + 5y > −2? 2 Ox - ²/3 2 Oxzforxe1 or x x>-1 3

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Q: The solution of the IVP y = x2(1+y), y(0) =3 is O None of these. y= 4e 3 - 1. y3 xe + 3. .3 3. y36e…

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Q: 1 the general solution of x²y" – xy – 3y = 2x².

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Q: the general solution to  y′′+6y′+25y=0

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Q: Now, (E1 ±2E)z(k, e) = 0 (5.41) has the solution z(k, e) = (#2E2)*$±(e) = (#2)*¢+(e + /½k), 1/2.…

A: Question: Explain how is zk,l=∓2E212kϕ∓l the solution of E1±2E212zk,l=0

Q: The solution of the DE (4xy -3)y' =-2y² -1 is 2xy² + x – 3y = c O None of these 2хy? - х - Зу 3 с…

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Q: 7. Solve for x, y and z using Gauss-Jordan Elimination 2w + x – 3y – 3z = 4 x + 2y +z = -3 2w – x +…

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Q: 2w+x+3y-z=6 w-x+2y-2z=-1 w-x-y+z=-4 -w+2x-2y-z=-7 Solve using the Gauss elimination method with…

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Q: b) Calculate i) 6 x (-4) - (-17 + 8) + 6 x (-3) = ii) -6(-4) - 3(-5) + 3(-3) = 5(-4)+ (-2)7 - 8(-4)…

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Q: 1. Determine a particular solution to y"-4y'-12y=3e5t

A: We have to find the particular solution of the given differential equation. y"-4y'-12y =3e5t…

Q: The particular solution of (2x+3)y = y+ (2x+3)*/2 ;y(-1) =0 using LDE is A 3y=/2x+3In(2x+3)…

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Q: Find the general solution of 2xy^2 + 4 = 2[3 - (x^2)(y)ly. (x^2)(у^2) + 4x - бу 3D С (x^2)(y^2) + 4x…

A: Tip: if you couldn't solve the differential equation, differentiate the given option and check which…

Q: 1 30 -4 2 60 -8 Q4) Describe all the solutions of Ax=0, where A=

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Q: 5. The particular solution of y' +y = y²when x = 0, y = 2 is a. y = (1+ 7e-3*) b. y³ = (2 + 3e-*) c.…

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Q: Find the particular solution of the DE y''-11y'+24y=0 when y(0)=2 y'(0)=-3

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Q: Find a particular solution to y" + 6/ + 9y = 3.5e 3. Yp =

A: Given thay  y"+6y'+9y=3.5e^(-3t) To fin the particular solution

Q: 7) The solution of 5-2x = 3, is: a) In b)logs (3) d) logs (3)

A: As you mentioned question no 7 solved

Q: 2. Given the system below, 3x₁x22x3 = 7 x₁ + 7x₂-3x3 = -19 x₁2x₂ + 10x3 = 71 Use the Crout's /…

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Q: D. 8y = 4x3 - 6x² + 3x + 8e¬*² В. 4у %3D 2х2 — х +3+е-*? Find the particular solution for y' = x3 –…

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Q: Q4(a) Apply Gauss-Jordan elimination method to solve the equations x – 2y + z = 0 2x + y – 3z = 5 4x…

A: Consider the given system of equations x-2y+z=02x+y-3z=54x-7y+z=-1 Write the system of equations in…

Q: Find the general solution of the DE: y “ – 5y“ + 3y + 9y = 0 יוו -

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Q: 5. Solve the following system of non-linear equations 2a2-4ry-y = 0, 2y?+10x-a2-4xy-5 = 0 with ro =…

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Q: Find the solution using Gaussian elimination: 7x + 5y − 3z = 16 3x − 5y + 2z = −8 5x + 3y − 7z = 0

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Q: find the particular solution of y"+ 12y+36y=0 with y(0)=3 and y'(0)= -36. A y= 3(1+6x)e-6x y=3-1(9-…

A: Given: y''+12y'+36y, with y0=3 and y'0=-36 To Find: Particular solution of the given differential…

Q: 4. Solve the following system of equations using Gauss-Jordan elimination. x + 3y = 7 3x + 4y = 11

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Q: Find the general solution of the following DE. y' = 3 (y + 1) O y = 3ce³x - 1 Oy = ce³x - 1 Oy =…

A: y' = 3(y+1) dy/dx = 3(y+1) dy/3(y+1) = dx dy/(y+1) = 3dx now apply both side integration

Q: 1 Which one of the following is the particular solution of the system = 4 X+ 2t-50 3 -4t-47 OA X, =…

A: The solution is given as follows Ans : ( D )

Q: I need explanation for all the highlighted equation pls.

A: 1). Given,

Q: The general solution of the DE y" - 2y' - 3y = 0 is y = cqe*+ c2e-2x O None of these y= Cqe*+ c,e3x…

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Q: 7. The particular solution of (D³ + 2 D²-5D-6)y = 0, when x = 0, y = 0, y = 0, y" = 1

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Q: -2 1/4 Find the general solution to the system X' = AX, where A = -2

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Q: 15. Find all the solutions of the system below. 1 2 (90-0 1 -1 1 y = 0 12 1 2

A: The given system of equation is 1211-11212xyz=000.

Q: y" + 10y' + 26y =0

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Q: 6. Find the general solution to: y" + 3y" + 3y' + y =

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: Find the general solution of y" + 9y = 5e^x -162x^2. Use yp = Ae^x + Bx^2 + Cx + D

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Q: 1 Q1: Solve the system i = Ax, x(0) 1 -1 1 1 A 3 -2 1 1 ||

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Q: 9. Find the general solution of (2ху - у? +у) ӕ+ (3x? — 4ху + 3х) фу - 0 А. хtу?(х - у + 1) 3D с В.…

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Q: n/x-6 = √ √x + 6 be se 6 be How can O2y + x = -10 3y + x = 18 O 2y + 2x = -10 3y + 3x = 18 O2y-x=-10…

A: Equate both the expressions in x to y to get the system of equations.

Q: Find the general solution to the DE y"-6y'+9y=t2e3t

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Q: 5. Find the general solution of y"' + y'" - 6y' + 4y = 0 +

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Q: The particular solution of (2x+3)y'=y+ (2x+3) ¹/2 ; y ( − 1) = 0 using LDE is A B C D -2y=√√2x +3 In…

A: Please see the below picture for detailed solution.

Q: 3. Solve of the following system: 311 1 12- 2ra =-7 Si 1 3r2- 43= 2 I1 1 2r2- 3ra = 1

A: From the third equation we get:

Q: Find the solution of the IVP; 3y'' - 11y' = 2x3 - 5x + 1 + 4y y(0) = -1 y'(0) = -2

A: Here is the solution