Find the DE of the following solution: y = (c1 + c2x)e2* + (c3 + C4x)e¬*

Q: Find (a) ∣AT∣, (b) ∣A2∣, (c) ∣AAT∣, (d) ∣2A∣, and (e) ∣A−1∣.

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Q: Find (a) ∣AT∣, (b) ∣A2∣, (c) ∣AAT∣, (d) ∣2A∣, and (e) ∣A−1∣.

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Q: Evaluate p(x² + y²)5/2 dA, where D = {(x, y) E R² | 0 < y < 1, - V1- y² < a < 0}.

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Q: Given 2X+34= LIO-2 L13 -2 Find Xand Y

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Q: (x + y + z) dA. 3,

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Q: . Find the solution of dydt = 2y(3 − y), y(0) = 10.

A: dydt=2y3-y On simplification, we get ⇒dyy3-y=2 dt⇒dy3y-y2=2 dt⇒dy-y2-3y=2 dt⇒dyy2-3y+94-94=-2…

Q: The notation zyAx is equivalent to А. В. êrêy² 2 С. .2 D.

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Q: (z12, +) then find 0 (a + b) =

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Q: // a?dA where R {(x, y) | 16z² + 36y² < 576} Find

A: first we find limits of integration, than

Q: Find x and y in terms of a and b.

A: Given equations are: ax+by=0⇒ax=-by⇒axa=-bya      (dividing both sides by a)⇒x=-bya   ...(1)x+y=1…

Q: Ду Given y = x² + 3x + 5, find Ax

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Q: Find (a) ∣AT∣, (b) ∣A2∣, (c) ∣AAT∣, (d) ∣2A∣, and (e) ∣A−1∣.

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Q: y" + 12y' + 36y= 0

A: Given the differential equation is y" + 12y' + 36y = 0. Here the auxiliary equation is m2 + 12m + 36…

Q: Find d2y/dx2 if e^y− y = x. Write your final answer in terms of x and/or y, and simplify.

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Q: Find the values of x and y. (12x − 4)° R (4y)° U (5y)⁰ T SA

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Q: Find (a) ∣AT∣, (b) ∣A2∣, (c) ∣AAT∣, (d) ∣2A∣, and (e) ∣A−1∣.

A: Dear student, since you have posted multiple sub parts, as per our policy we will answer first three…

Q: Given m n, find the value of x and y. (7x+18)° (5х-6)° m (3y+11)°

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Q: (C) y" + 21y+8x=y" + 5y' + e²*

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Q: Find the Iimit Jax-y (1)g)> (3, d) e

A: We need to evaluate the following multivariable limit limx, y→3,2e2x-y

Q: Given that 6x + 2y = 0 and x² + y2 = 2(32 + xy) Calculate the value of x and y.

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Q: 1) y = c x2 2) y = ce* + c2e¬*

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Q: In the formula z = xy, find z if x = 4 and y = -3.

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Q: Find the values of x and y by substitution method y = }x - 3y 3x 2y 10

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Q: Given (x² – y²)² = 4ay², find y".

A: Let's find.

Q: Find (a) ∣AT∣, (b) ∣A2∣, (c) ∣AAT∣, (d) ∣2A∣, and (e) ∣A−1∣.

A: Given

Q: Evaluate dA, where R: 0 < x < 4, 1 < y< 2. R y2

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Q: Complete the equation for OA. ty 4 -2 -2 A

A: From the given image of circle we see that, the center of the circle is at ( - 4, - 2) and the…

Q: The value of y is 112° (2y + 1)° yo

A: To find y :  The sum angle of a quadrilateral is 360° . One angle is 112° Therefore the interior…

Q: E. Find x²+y = 4 %3D

A: x2+y2=4

Q: Find d?y/d?x from x=t2-3t+4 and y=t2 +4t -5.

A: The parametric equations are x = t2-3t+4 y = t2+4t-5 To evaluate: The expression of d2ydx2 Formula…

Q: Find the solution. dy 1+ Sy =2xy4 dr A) 13 В 13 23 © »- a D 15

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Q: Given a 26t + 41 and y = 169t2 + 124 da (i) dt -n dy (ii). dt dy (iii) dr (write the simplified…

A: GGG

Q: regunta´ y' +y – 12y = 0 y = qe + c2e¬4z

A: Given: y''+y'-12y=0 and y=c1e3x+c2e-4x

Q: Find (a) ∣AT∣, (b) ∣A2∣, (c) ∣AAT∣, (d) ∣2A∣, and (e) ∣A−1∣.

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Q: y ds, C: x = t², y = t, – 2 <t < 3

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Q: (a² + y²)dæ = 2y[(a² + y?)² + 4x]dy ?

A: First we find the integrating factor then solve this ODE

Q: y = x2 + Ce2* + Cze3* y = C,e* + C2xe*

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Q: a. Compute P(Y < 20).

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Q: At noon, ship A was 12 nautical miles due north of ship B. Ship A was sailing south at 12 nautical…

A: Note: We are entitled to solve only one question at a time and up to 3 subparts only. Given: At…

Q: Find the solution to 2y'' + y' − 3y = 0, y(0) = a, y'(0) = b.

A: Differential equation

Q: Find x, y and mZP. (3y+15)° P (2x-18)"

A: Given problem:-

Q: the IVP y + (2xy – e¯4")y = 0, y(2) = 1, -2y ODD

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Q: Find a formula for y 16. y=x" 17. y= 5x-1

A: 16. Given y = xn. Differentiating with respect to x ,we get y' = dy/dx= (d/dx)(xn) = nxn-1  i.e., y'…

Q: SSx = 172.5 = 80.6, and E[(X-My) (Y-Mx] = 95.33, r=

A: Obtain the value of the correlation coefficient. The formula to obtain the correlation coefficient…

Q: Find the solution √√y³(x-2) (5xy' +4y)=2

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Q: Find all the pairs of integers (x, y) that satisfy 287x – 406y = 27.

A: This is a problem of Diophantine equation.

Q: Find the general solution. y' + 4xy? = 0 %3D

A: The given equation is; y'+4xy2 = 0

Q: Given a = 16t + 28 and y = 40t² + 150 da (i) dt dy (ii)- dt (iii) da (write the simplified answer)…

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Q: Find the solution. dy + Sy =2r?y4 dr

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