Use Laplace transform to solve IVP shown below: у" — 5у' + 6у %3D 2tet - Зet y(0) = у (0) %3D 1, у'(0) 3 — 1.

Q: Q1) Express in matrix notation: x' = (cos 2t) x y' = x – (sin 2t)y +1 z' = 1- x + 3y

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Q: 2) vting daplace toansfóöre, Solve x" Zt)+4x'Lt)+3=(4) uing = 10 gint yeren that xco) = -3t Ans: ILt…

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Q: Determine the coefficient of a° in (1– 5a³)® by completing the following given steps.

A: we have to determine the coefficient of a3 in 1-5a35. as we know that if we have (x+y)n then the…

Q: c) 4y? — 7у — 12 dy У(у + 2)(у — 3)

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Q: What is the coefficient of x2y' in (5x- y)?

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Q: Solve the following equation by using separation variable method: u(0,t)= u(6,t)=u(x,0)=0 u, (x,0)=…

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Q: : )-+(÷), zw= (C) dx 1 et %3D dt 1 (: :)-+(-), -= (C) dx dt 1

A: Given dxdt=0110 x +ete-t Here let take A= 0110A-λI=-λ11-λ=0λ2-1=0λ=±1 Hence the eigen vector for 1…

Q: (4) M" - afg' -4fg= 0; Y@-1, g'()=0

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Q: the derivatives of y with respect to x: y = xe* – ex y = e(1x+) %3D y = e*(sin x + cos x) %3D y =…

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Q: The transformation that reflects across x=2 is P (x, y) → P' (x, 4 - y) a) True b) False

A: Let's find.

Q: 3. [32] −1 4-3 4. 5. [. |_3 -4 2 1 2 -1 4,

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Q: kpression for "12 times x."

A: Times means multiplication. Sometimes it is denoted by dot.

Q: (a) Simplify the following: i. (-10z’y“)*(z°y) * 3 1 1 1 (a'b?c ?) (ab)3 Ja'x/bc ii. 3 3 1 1 -3…

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Q: Calculate the 2D-DFT of the following image. 10 0 1 Table 1: A Digital Image.

A: Solution: Given that N=2 fx,y y=0 y=1 x=0 1 0 x=1 0 1 Now,

Q: 4. Classify and reduce the following equations to a canonical form: (a) yu -x*u, = 0, x>0, y>0. (b)…

A: To classify and reduced in canonical form of the given equation is..

Q: Find the exact lanth of the 4=1n (sec(x)), Odyct3

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Q: Find y' (-1) if y = In (a² + 5)° (2 – 4æ)®

A: I have stated the used formulas in the solution

Q: t+2 1. La transformada de Laplace de la función (2t – 3)e 3 es igual a: a) e 2 2 3 21 S-- 3, 2 2 3…

A: Given that  (2t-3)e^(t+2)/3 To find the Laplace transformation of given function

Q: NAME: dy IN QUESTIONS 1-13, FIND dx 1 2. у 3D х6-6х+4

A: Derivative problem.....

Q: Calculate the imaginary part of  ∮C(Re(z)+3.43)(1z^2+9z+11 / z)dz  where C:|z|=1  Use FOUR…

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Q: ®[6.4] Using the Laplace transform to solve IVP. yu t16y= 43(t-37) H10)=2 , y'0) =0 y10)%=D2 %3D 3D0

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Q: 1) If fIx)= J,I + ť° d+ then find q'l0) and g"l0) (where g=f") fmeans inverse function Off.

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Q: Please review the screenshot attached to this request and solve the problem :)

A: Step 1: Step 2: Step 3: Step 4:

Q: A point (x,y)=(3,4) is transformerd. First with: [2 And then with: [29] Please calculate the result…

A: Given that , Point x,y=3,4 find the transformed point.

Q: (ii) e*u + e'u„ = u XX yy

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Q: (10iZ45°)(2¡Z25°)(e')

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Q: What is the image of (4,-1)(4,−1) after a reflection over the line y=xy=x?

A: Reflection over y=x means:  (x,y)→(y,x)  We need to find reflection of (4,-1) over y=x line .

Q: The equation of a circle can be represented as in-h)² + (y – k)² = r², where (h. k)ie center of the…

A: Substitute h,k and r in the equation, x-h2+(y-k)2=r2 and solve for y to yield the result.

Q: d) 3xy" +4y' +y = 0.

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Q: zy + (1- 2z')y = r'e denkleminin çözümü aşağıdakilerden hangisidir? O ay = -te z+ %3D %3D 8z Ocy- 4z…

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