4. Solve the following initial value problems: (a) y" + 5y' +6y=e-'8(t-2), x' - 3x +2y = sint, (b) 4x - y - y = cost, y(0) = 2, y'(0) = -5. x(0) = 0, y (0) = 0.

Q: 9. Find inverse Laplace: | es S

A:

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A: This is the question of the differential equation.

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A: here we can use basic formula of probablity

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A: given abcdefghi=3 -2a-2d-2g5b5e5hc+4bf+4ei+4h=?

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A: solution is given below:

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A: The ___________ of a BVP quite often are proportional to the natural frequencies of the problem.

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A: Please check the answer in next step

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A: We use definition of connected and path connected sets. We use contradiction method.

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A: Given : μ = 360 ml Ẍ (Mean) = 355 ml σ (Population Standard Deviation)= 9 ml α= 0.01

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Q: = AY with A = ').L dt 26 20 corresponding straight-line solutions Y₁ (t) = (21(1))) and (t). nsider…

A: Introduction: In linear algebra, eigenvalues are related to eigenvectors. In the analysis of linear…

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A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: [3] Determine the area of the triangle determined by the polar point (18, 240").

A:

Q: y = -0.2 (x−5) -6

A: Consider a function y=0.2x ......(1) The graph of the function is

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Q: Please do the Fourier transform of the following formula u₁(xo, Yo) = exp(- exp(-xo+yo) wo

A: Given: u0x0,y0=exp-x02+y02w02 To find: Solution

Q: All solutions approach the curve y = 2-t² ast → ∞.

A: This is the question of the differential equation.

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A:

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Q: 5: The Hessian matrix for f(X) = x}xy + x3x3 at the point (1 2 3], is given by: [6 0 31 [3 0 61 [18…

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Q: Consider the linear system dt = AY with A = Find the corresponding straight-line solutions Y₁ (t) =…

A: Introduction: In linear algebra, eigenvalues are related to eigenvectors. In the analysis of linear…

Q: 3 lim Z→2 (Z-2)4 ∞

A: We have to find the limit.

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A:

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A: we have to find the solution of given differential equations and its interval of definition.

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A:

Q: 3. Answer the following questions. Show all solution steps: x3 y6 z4 a. Simplify: ÷ 2(x4y7)⁰ xm y2…

A: (a) we have to simplify x2x4y70÷x3y6z4xmy2z-5 also, m=2 Then x2x4y70÷x3y6z4x2y2z-5

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Q: 4. (a) Find the general solution of the system x₁ = 4x17x2, x2 = 7x1 + 4x₂. (b) Let a and b be real…

A: We solve by eigenvalues and eigenvectors method.

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Q: = 6. Consider the convolution f(t) 29* unit step or Heaviside. So, when calculating 29e-13s+a con a…

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Q: marks. THE CO igle in 111° 103° 122 polygon all of ning for

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Q: 2. Use the elimination method to solve the system y₁ = 2y₁ + y2 + et, y2 = y₁ + 2y2 - t.

A:

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