- Evaluate ryVx2 + y? dy dr 00

Q: y"+ 14y'+ 50y = 0, y(0) = 2, y'(0) = –17

A: Given y''+14y'+50y=0 Initial condition is y(0)=2, y'0)=-17 Auxiliary equation is…

Q: Divide. 7y6 – 14y* – 49y³ – 1 7y? 4a3 – a? - (-4a³) a?

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Q: 10. y' = x³ – 2xy,when x = 1, y = 1

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Q: Simplify: V175a'yz³ O 3y z/2# O 6y?z/5xz O 6zyz /3ryz

A: This question is related to numbers, we will use the given information to solve it.

Q: 16x? + 12y² = 192

A: Center: The midpoint of the line joining the two foci is called the center of the ellipse. Major…

Q: Evaluate 3y2 -7 for y = 5

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Q: у" - у' - 20у е2х 20y = e2x

A: Here, we need to find the particular solution of the given differential equation. Here, we will…

Q: dy yo

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Q: 17Ay = y? + 2xy

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Q: d?y if y = 4lnx5 2

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Q: 3x?y" + 6xy' + y = 0 X > ||

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Q: by the ea vation 2xy +X=Y". XP |3D

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Q: x? + y? – 2x – 8y + 19 = 0

A: x2 + y2 - 2x - 8y +19 = 0 Repositioning x and y accordingly we get x2 - 2x + y2 - 8y +19 = 0…

Q: -2 b. fx(x) = {** x 21 else

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Q: Perform the indicated operations: Зу + 2 7y2 + 24y + 28 3y2 - 11y – 20 4 y - 5 Зу + 4

A: Given: 3y+2y-5+43y+4-7y2+24y+283y2-11y-20 Taking LCM,…

Q: y" − 8y' + 16y = 32t, y0 = 1, y'0 = 2

A: y" − 8y' + 16y = 32t Auxiliary equation is  m2-8m+16=0 (m-4)2=0 m=4,4 Complementary function is…

Q: y" + ay' + sy = ge-2* + 8 ylo) -y'6o) =

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Q: y" + 5y' + 6y = 12, y0 = 2, y'0 = 0

A: Consider the given differential equation y''+5y'+6y=12 ,   y0=2, y'0=0            …1 The homogeneous…

Q: 16x? + 40xy + 25y² = (. 5y)?

A: Complete the following: 16x2+40xy+25y2=(____+5y)2

Q: Find dy and

A: Given, y = x1/2 Generally, for y = xn We have, dy/dx = n ( xn-1)  Similarly we can obtain answer for…

Q: d²y 7. – 4y=-6e', y(0)=3; y'(0)=4 di? 2/2

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Q: x y), if x and 12 -180

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

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Q: (c) 825²–3y° (y² – y) dy

A: The given integral,∫82y3-3y2y2-ydy

Q: Given: y - -4(3)' + 2:

A: Intercept of -4(3)x+2

Q: If y = 12 when x = 6/7, find x when y = 16

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Q: Add (4x² + xy² – 7y³), (-7x² + 3x²y² + 9y³), and (5x² + 12xy? – 8x?y? - 4y³)

A: Here we have to add the givne expressions,  4x2+xy2-7y3, -7x2+3x2y2+9y3, and 5x2+12xy2-8x2y2-4y3

Q: Hnd the generalsolutm to y" f4y'+13y =O Ganerat Soluhon:

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Q: Q7// Evaluate y y2-64 dy

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Q: Evaluate for: x = -2, y = 4, and z = 16 * |-y-x|

A: Given values are  x=-2y=4z=16 It is asked to find the value of -y-xz

Q: Evaluate: ,(3y6 + 8y* – 9y²)dy 2

A: Given:    ∫-22 3y6+8y4-9y2dy

Q: ZV zV1- z?dz

A: Let the given integral be y - y = ∫z1-z2 dz           ..............(1)Let,z = sinx…

Q: x* – 3x? + 2 y? ,2

A: Given:

Q: -27u y w 1&y 81w 16u O True O False

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Q: Fnd r if bYX = 1/4 and bXY = 16

A: The correlation coefficient is the associational statistic for two continuous variables.

Q: - 8y + 16y = 0, y(0) = 8, y(1) = 0.

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Q: a?y" – 5xy' + 9y = 0, y1 = x³. (0, ∞). -

A: Since you have posted a question with multiple sub-parts, I will solve the first three subparts for…

Q: 3) y" + 16y = 1, y(0) = 1, y(0) = 2;

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Q: 2v y'=, when y(2)=3 1+ y²2²

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Q: y" + 7y' + 10y = 0, y(0)= -4, y'(0)=2

A: If we have differential equation   where a,b and c are constant real number then assume the solution…

Q: when y(0)=1 and y(1)= 2

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Q: When h(t) = 7t + 3t – 2, evaluate h( – 3) - h( – 3) =

A: Given: ht=7t2+3t-2 h-3 can be evaluated by putting t=-3 in the equation of ht as, h-3=7-32+3-3-2…

Q: 3) y" + 16y = 1, y(0) = 1, y'(0) = 2;

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Q: y" + 27y' + 7y = 0 + Ty = 0 %3D

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Q: ex Find FaイNR f6つき,2)→1-2XY+x4

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Q: Evaluate 11 Q3 x²e*y dxdy 0 y

A: We will solve this question by changing the order of Integration.

Q: S SEV1+ y3 dydx =?

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Q: Evaluate: ,(3y6 – 8y* + 9y?)dy

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Q: (7y² + 12y + 6) + (6y? - 9y + 7)

A: Given (7y² + 12y + 6) + (6y² - 9y + 7) = ?