. (r+ 4y – 8)dx – (2r + 8y + 6)dy = 0 Answer": 36(y – 2) + 22ln(-3x – 12y + 13) = ( %3D う 」フ ょうん。

Q: xp %3D 0. dy %3D 18 + 9t2 dt xp for y = Find ||

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Q: fo axy dx + 2xy dy, where Cis the rectangle bounded by x = -1.x = 1, y = 1, and y = 5. 6xy dx + 2xy…

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Q: FIND dy AND dy OF x= VI-t AMD y= t° -st. dx a 4t Vit day dx2 7-1^7- d^y-4t %3D c.)dy – 4t JI-t %3D –…

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Q: d"y Q5 dx * - 5 d³y +74 – 3y = 20 sin(x), y(0) = - 1, y'(0) = 2, dx use the method of Variation of…

A: This is 3rd order first degree non homogeneous ordinary differential equation.

Q: 3x sec (xy)dA; R={{x,y): 0 sxs7,0 sys 1}

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Q: Answer the following questions for the DE. (y – 2)dx + (3x - y)dy 0 %3D What type of DE is shown?

A: (y-2)dx+(3x-y)dy=0  is first order non  linear ordinary  differential equation

Q: xy³ dx + x?y? dy +- In (In y) In x dx + dy = 0 y In y %3D 3.

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Q: dz 2. Given z = 4x2 + y²,x = sin t, y = t², find- %3D dt

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Q: Choose the letter of the correct answer and justify or defend your answers. |Identify the 3rd order…

A: Given that: Differential equations as shown

Q: dy at x = 2 for the function below. dx Evaluate у%3D — 2и + 4и + 9, where u %3D 4x2 — бх + 5

A: Given that,    y=-2u3+4u+9, where u=4x2-6x+5

Q: By algebraic substitution, the integral -dx is converted to: 4+. Vx 2ydy (A y+4 dy B y+4 y+4 D [vay…

A: Here is the solution

Q: 1. If y = V6x + 1, then what is Y? dy? %3D dx dy a. 2(6x – 1) 3(6x + 1)7 2(6x + 1) dy С. dx %3D %3D…

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Q: dy +y de : 2 et dx Arowar 1- ye" (c -x*) 1= yet (c -x*) %3D

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Q: his DE is variable separable. * (4ys-x) dx - 3y (y° + 2)dy = %3D O True O False

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Q: Hiws slove du 4 dt %3D dx2 u(6,t) = L (8,t)=0 U(x, a) =0 : =4X-()x²

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Q: 2x Reverse the double integral dy dx , to obtain 0. Select one: a. ry/2 dx dy x 0. b. 2 2y dx dy 0.…

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Q: 4 J4- y ktx dy S[S( x, y) dA = [] 3 R 0 2- 2 2

A: Consider the given expression, ∬Rfx,ydA=∫04∫2-y24-yx2-x33dxdy This suggests that the region spans…

Q: Find the differential dy. (a) y = xv10 – x %3D dy %3D (b) y = (1+ x) 6 dy

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Q: dy If ex+У%3D ху, then dx %3D Ух- 1) A x(у- 1) (1- x) B x(y- 1) x(у- 1) Ух- 1) x(1-у) (D y(x- 1)

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Q: se Green's Theorem to evaluate SC (5y-9x)dy-(yx-x³)dx where C is shown below

A: Follow the procedure given below.

Q: The area of the region between the curve y = xr? – 6x +8 and the x-axis & r = 0 ; x = 3 is given by…

A: here option c is true because we will take the area in x -axis so will take limit of x and integrate…

Q: d’y_2dy 3 y=2sin°(x) dx Determine the general solution of 2 dx

A: We have to determine the general solution of the differential equation…

Q: Solve for if y- Ina 2- y?. da MCQ3.pdf dy 2y +1 dx dy 2y +1 dx dy dæ -(2y+1)x 1 dy (2y+ 1)a TERIRS…

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Q: Find the value of y(0.1) using fourth order Runge-Kutta's method from: dy =x+y, y(0)=1. dx 2.0

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Q: 1. a- Find a result by using variable separation for dy dx b- y³y+x³=0

A: Note:- These are multiple questions and acording to our company guideline we can do maximum 1…

Q: IV. Find of the following. dx = V1-t 1. ly = V1+t %3D 3t X = . 1+t3 3t? y = 1+t3 tま- 2.

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Q: hich of the following is not variable separable? (А) 2ху dx + (х2 + 1) dy %3D0 A ye' dy - (e-y+…

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Q: Find the differential dy. (a) y = xv8- x %3D dy %3D (b) y = (1+ x)7 dy

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Q: II (2x + 3y + 4:") dV , where B = {(x, y, 2) | 0 < x < 1, 0 <y< 2, 0< 2< 3}

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Q: JS xy dA R: rectangle with vertices (0, 0), (0, 3), (5, 3), (5,0) 166xx 16 xy dx dy = xy dy dx =

A: The solution is given as

Q: 4. (x + Vy? + 1)dx-(y y-: dy = 0 Vy2+1, %3D

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Q: f(x) = 3x²+x+7. Approximate fo trapezoids. O a. 60 Ob. 44 Oc. 30 Od. 22 f(x)dx using the trapezoidal…

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Q: By algebraic substitution, the integral - dx dx is converted to: 4+Vx 2 dy A y+4 2ydy B У+4 ydy (C)…

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Q: By algebraic substitution, the integral dx dx is converted to: 4+Vx dy y+4 2 dy y+4 ydy y+4 2ydy y+4

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Q: dy in terms of y? dx %3D - 12. Given that 3x – tan y = 4, what is dy (A) = 3 sin" y %3D dx dy 3 cos?…

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Q: ds where t+s = 2s . dt Find %3D 6.

A: t+s=2s

Q: Ql: f(x.y)-y cos xy over the rectangle 0sxs , 0 sys1

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Q: What is the point of intersection of the given 3y + x – 5)dx – (x – y – 1)dy = 0 (-1/2, -3/2) O (2,…

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Q: last question on my homework. so lost

A: Consider the given integral

Q: y = 2x* + 32; dx = 5, x 2, y=4 dt dy (Round to two decimal places as needed.) %3D dt

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Q: -0.08. Then evaluate dy for a=-3 and dz *+1 %3D Let y = dy = %3D

A: We have to find

Q: Find fa and fy. f(x, y) = 4e dt %3D

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Q: dy dæ at x = 2 if y = 3x + 5 and dt Find - 2. %3D %3D - dt dy %3D dt

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Q: dx dx is converted to: 4+Vx By algebraic substitution, the integral - 2ydy y+4 B y+4 © [ vdy y+4 dy…

A: Given, u= ∫dx/(4+√x) We can solve it by substitution method.

Q: Evaluate the exact value of the multiple integral. 2 In 2z c2y e*dx dy dz 2 Jinz -y

A: This question is related to definite integration, we will solve it solve it using given information.…

Q: Evaluate [ sin (3x +3y)dA where D is the region between x +y' 1 and x+y 7.

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Q: Find of/ dx and of /dy. f(x,y)= e(x+y+ 4) of/ dx = %3D of / dy %3D

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Q: Which first order DE is variable separable? dy dx =y²cosx-y²sinx = 1 + xy =ycosx-xsiny =(x-y)² dy dx…

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Q: dy find 3 - x x - 2 1) If y = t + 2t , t = %3D %3D dx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3. Evaluate SIS 3z dV where E is the region inside both x² + y² + z² = 1 and z = E x² + y².

A: