Find a fundamental matrix of the following system, and then apply x(t)=(t)(0) 1x to find a solution satisfying the initial conditions. -6-2 x' = x, x(0)= 36 6 1+2t - 6-2 e-6t| 2 cos 6t - 2 sin 6t C. (t)= - 6 cos 6t + 6 sin 6t 6 cos 6t + 6 sin 6t - 6t - 2e - 6t OD. (t)= 6e -2 e 6t -6t 6e Find a solution satisfying the given initial condition. x(t) = (Use integers or fractions for any numbers in the expression.)

Q: 7 -1 2 Express the system X'= AX, where A = 4 3 8 in standard expanded form. Let X [596] 11 li [])

A: NOTE: Since you have posted multiple questions, we will provide the solution only to the first…

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Q: Find a fundamental matrix of the following system, and then apply x(t) = Þ(t)Þ(0)¯¯ 1x to find a…

A: Step 1:Step 2:

Q: Find a fundamental matrix of the following system, and then apply x(t)=(t)(0) 1x to find a solution…

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

Q: answers should be separated by comma and in general solution form

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A: please see the next step for solution

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A: Hi! you have posted multiple subparts. As per norms, we will be answering only the first three…

Q: Q.NO.1: Solve the system of equation by using matrix equation X= A'B and find A'by elementary row…

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A: a) A=-1-28-1 The eigen values are given by, -1-λ-28-1-λ=0⇒(λ+1)2+16=0⇒(λ+1)=±4i⇒λ=-1±4i for λ1=-1+4i…

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A: We have to find the Jacobian of the system.

Q: If the ratio of boys to girls in tennis camp is 3:5 if there are 64 campers, how many are girls 

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Q: 39 2-31]2, 2004] 니 dz de where 2 =/ 2₁1 and 12 = [ 2.1 2-√² ] Z

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Q: Q.3: A) Solve the following equations (find x, y, z) by using inverse matrix method. (Note: Check…

A: Given:-              cos θ +ln 1y+2z+3 = - 3ln y2 +32z -4 = 1+cos2 θ221+tan θ2+2 ln y+2z = -3

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Q: det(A?) = 8. 1693619 B det (;A) = 2. u10121 1101210007 1693619210 det(A – B) = -2. u10121 %3D 101…

A: We will solve the following

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Q: Consider the system of equations. Edit 1 1 3. 3 3. 1 1 1 X. 1 Find a fundamental matrix for the…

A: The fundamental matrix is phi(t)=psi(t)×psi-1(0)

Q: Find a fundamental matrix of the following system, and then apply x(t) = Þ(t)(0) ¹x to find a…

A: NOTE. Answer form may vary depending upon choice of eigen vector.