Find (3x + y)dA where D = {(x, y) | æ² + y? < 25, z > 0}

Q: Find the particular solution for y' = x3 – 2xy when x = 0, y = 1

A: We are given a differential equation: dydx=x3-2xywith the initial cobdition x=0, y=1 We can solve…

Q: Find d2y/dx2 implicitly in terms of x and y.

A: Implicit differentiation involves the treatment of one of the variables as a function of another and…

Q: (D³ – 4D²D'+ 5DD² – 2D ) z = e'*2* + Vy +x.

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Q: 2) (D² + 2D + 1) y = [exp(x) - 1]-2 %3D

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Q: Find the solution. 2y" - 3y' + y = 0 (A By = c,e 1- ©y = c,e Dy =c,e

A: Find roots of  characteristic  equation  of given differential equation .If roots are real and…

Q: Find of y3 = x* + 3x d?y dx2

A: giveny3=x4+3xdiffrentiate with respect to x3y2y'=4x3+3y'=4x3+33y2

Q: D'-2D +D)y(x) =1

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Q: S Sz(x² + y³)dxdy, wherein B = {(x, y) E R²; 0 < x² + y² <4}.

A: Double integral

Q: d?y 13 으18 + t6/3- t2 + 246 3 Find if y(t) - dt2 3

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Q: (у + /x2 + у2)dх — хӑy; when х%3D V3, у %3D 1

A: substitute value of x and y in the equation to find the answer

Q: Eo f is y = 1(a- 4). 3D1

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Q: Find y" from x =t +7, y = 6t -1

A: Answer and explanation is given below

Q: D={(x,y):4 < x² +y² < 81,< x <-V3y}, V3 Find [S, dA JJp y2

A: We will use polar co ordinates to solve the problem

Q: Find d2y/dx2 in terms of x and y. x2 + y2 = 3

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Q: (a) x²y "-xy '+ y = Inx %3D

A: According to our guideline, We can solve only first question of multiple question.So here we solve…

Q: (D³– 4D°D'+ 5DD2 – 2D ) z = e'*2* + Vy + +2x +Vy +x. |

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Q: = -21e 2 C D +4 D +9D t1o)y 4. /f x-O -4 l 10

A: To sove the initial value problem for y=y(x)

Q: 10. (D² – 2D – 3)y = 0 when x = 0, y = 0, y' = -4

A: To find the solution of the given differential equation .

Q: Find y, of+ 3+2y 14x2 + 42x + 6 d'y dx a.) y, = 7x2-4 b.) y, = 7x2 + x-5 c.) yp 7x2-x- 3 d.) y, =…

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Q: y"'-3y"+2y'=t+et

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Q: The cost per day to society of an epidemic is C(x, y) = 40x + 230y where C is in dollars, x is the…

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Q: (D³ - 4D²D'+ 5DD² – 2D ) z = e'+2* + Vy+x. |

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Q: Find the DE by eliminating the arbitrary constants |.cʻy² = xCx- )° %3D

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Q: in yy = 2 y-x; %3D

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Q: Find the solution 7. (x + 4y³)dy - ydx = 0

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Q: dy 9. x2-y = Jx2 – y². – y?.

A: Given:xdydx-y=x2-y2

Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

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Q: [v= -y +2x ,x' = 4y + x + t

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Q: Find Y in terms of x and y. d2y

A: Given an equation in terms of y and x as shown belowWe need to differentiate it with respect to x…

Q: f(x) = (4e2x)3 3(4e2*)2(4e2x) 3D3(16e**)(4e2*) 192(e6x) %3D %3D %3D

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Q: Q6 Find dy, if y- +++

A: Given :y=xxx

Q: 5. (D2 – 5D + 6)y = 18x2 + 12e2* (Assume yp = Ax² + Bx + C + Ee2x)

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Q: y"- 5y + 4y ez.

A: Use second order ordinary differential equation rules

Q: Evaluate d2y/dx2 at the point (0, -9). x = t3 - 3t y = 3t2 - 9

A: Given: x = t3 - 3t y = 3t2 - 9

Q: a.) = y° (4 – y²) - b.) y' = y In(y+ 2) %3D c.) = (ye" – 9y)/e" -

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Q: Find d^2 y/dx^2 in terms of x and y. y8 = x9   d^2 y/dx^2

A: Given expression is, y8=x9

Q: 11. (D³ + D)y = sec? x when x =- 4 = %3B

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: v x +y = 2xy + 4x; at x = 1 and y = 3

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: 19 -e 8x + · -2x y = c¡e¬* + c2e¯ xe8x %3D 8100 90

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Q: Solve the equation using Reduction of Order y" -y = 2et Oy=c₁e¹ + c₂xet + e* (x + c3e-²x + C4)…

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Q: C:y 2x, x 8 ing (x² + y³)dx + (2xy +3)dy1

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Q: 4. y = vx + 2 x,for-

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Q: dz Find from the equation x*y+ x z+ z² = 4 ax

A: We differentiate both sides with respect to x, considering z is a function of x.

Q: y = e² -Vx sec 6x 3

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Q: 4. (Dª + 2D³ – 6D² – 16D – 8)y = 0 - - - %3D

A: The given differential equation,     D4+2D3-6D2-16D-8y=0

Q: d'y Find implicity in terms of x and y dx? x² +y² = 4

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Q: 3 1 (x + 2y)dydx -1 a) 5 b)7 O d)-:

A: Please check step 2 for solution.

Q: d²y If y = x Inx , find dx²

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Q: (D² – 4)y = 2 – 8x; when x = 0, y = 0, y' = 5. %3D ANS. y = e2x – e-2* + 2x – }.

A: We have to find solution of given differential equation.

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.