Find the general solution for the system. Y'₁ = 9y1 + 4y2 - 10/3 + 2Y3 Y'2 = -2y1 Y'3 8y1 + 4y2 - 93 = (y₁(t), Y₂(t), y(t)) =

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A: Solution by using eigenvalues and eigenvectors as follows :

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Q: Find the solution of the system DE: 2x'+y'-2x=1 , x'+y'-3x-3y=2 , where: x(0)=0 , y(0)=0

A: The solution is given as

Q: Problem 3. (a) Find the general solution for the system of ODE (4 -3) x' = 8 -6) X. Describe the…

A: Please post the multiple parts separately. Here I answered 1st part only as per our policy.

Q: Find the general solutions of the system. x': x(t) = 11 8 18 - 27 -9 2 00 14 4 X

A: We have given DE in matrix form:To find the general solutions of the system represented by the…

Q: 2. Find the general solution to the given system: x' = 1 1 -8-5-3 1 2 113 X.

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Q: Find the solution of the following system y'1= y1 - y2 +y3 y'2 = 5y2 y'3 = -2y1 + y2 - y3

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Q: Write the given system in the form x' = P(t)x + f(t). x' = - 8y y' = 5x X' 0-40-4 y' y

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Q: Find the general solutions of the system. x' = 2 18 - 27 -9 x(t) = C₁ est 8t 0 0 8 4 x 9 -4 + C₂e³t…

A: If we write x = (x1 , x2 , x3) , theb the given differential equation can be re-written as…

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A: Differentiating the given equation we get      v"(t) = 0 - 5v'(t) -120(h'(t)/m)              =…

Q: x-1=2x y=2= λy Z=-λz x² + y²z² = 0

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A: Follow the steps.

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Q: Find the solution. y'+=Vy. y(1) = 0 x-3+2x 2 - 2 A y = 9x 3 x3-2x 2 y = + 1 B 9x I+3x y = %3D 9x 3.

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Q: Find the general solutions of the system. - 14 -9 0 x' = 1-8 0x 1 x(t) =

A: Please see the attachment

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Q: 4.) Solution: Find the general solution of the system -2t te X'= x² = (₁₂7) x + (₁²). 0

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A: Given equation are x.=-y and y.=x3+3xy+x For a) To show that the changes of variable x, y↦xx2+y+1,…

Q: For a system yı' = 5y1 – 3y2 +8 y2' = y1 + y2 + 32t, find y, (t) and y2(t), given that y, (0) = 2…

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Q: Find the general solution for the system. y'ı = 6y1 + 3y2 y'2 = 4y1 + 2y2 (Y1(t), y2(t)): %3!

A: The given system is, y1'=6y1+3y2y2'=4y1+2y2 The matrix form of the above system of equations is,…

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A: In mathematics, the general solution refers to a solution that encompasses all possible solutions to…

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Q: - 3 -1 x'(t) = x(t), 5 - 1 - 4 x(0) = (b

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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Q: Use method of elimination to find the general solution to the system x'-x-y=e¹ ly'-x+y=et

A: We are given systemadding and subtracting

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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: Write the given system in the form x′=P(t)x+f(t).   x'=7x+2y+2et y'=2x-y-t2

A: solution of the given problem is below ...

Q: For a system y1' = 5y1 – 3y2 + 8 %3D y2' = y1 + y2 + 32t, find y, (t) and y2(t), given that y1(0) =…

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