1-CAL182 y =Vx+4 29- y=x-2 SVx+4dx + [(Jx +4- (x – 2))dx → a = ?,6 = 2,c = ?,d = ? area = A) a- 4, b-0, c-0, d-5 B) a--5, b-0, c-0, d-6 9 a--2 b-4, c-2, d-4 D) a--1, b-4, c-2. d-5 E) a 4, b-2. c-2, d-5

Q: 3.2.10 Example: By method of contour integration, prove that dx = t /4 (1+ x }

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Q: DE 1. (-x)y-4xy +5y = cosx 2. d²u d'u 2x² at³ 3. d³x 12 des -2 d²x +(4t-1). + sin t dt² 4. √1+ (v)³…

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Q: -1-y 3) Evaluate the integral dxdzdy?

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Q: 1 1-xl-x²-y? Evaluate the integral S S [dz dx dy 0 0 0

A: We will evaluate the given integral in this question.

Q: Evaluate |[[p(4z + 3y² + 2x)dV = {(x, y, z) | 0<x < 2,0 sys 2, 0 s z < 1} .

A: We have to evaluate the triple integral given below: ∭B4z3+3y2+2xdV  Here, the region B in three…

Q: w dw 16. S w +5 dy 17. S 25 - у2 18. S(2x) (x – 1)* dx

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: (b) Integrate: () S(4x3 — Зх? + 2х — 1)dx 3 (ii) - S-o S,(2.xy + z)dx dy dz z=-1 Jy=0 Jx=1 dy du =…

A: Solution:-

Q: Evalúe la integral iterada. S S xe" dædy 2e-1 3 4 бе-1

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Q: 19 271. dx y= 1-X) dy = -Ldx -dy= dx S-(-yei) y" dy 99 99 100 100 99 dy dy 100 %3D + R00 100 ). %3D…

A: Refer below

Q: 3. Find the total differential of z = f(x, y) if z2 - y = (1– 2x)z.

A: Total differential of a function z=fx,y is dz=∂z∂xdx+∂z∂ydy

Q: 5. Find fSp(x + y)² dx dy, wh- region in Fig. 17.2.12. y = x

A: Answer is 7/12

Q: 1.5 3-y Q1) Evaluate the integral dx dy

A: To evaluate the given integral.

Q: x³ + 6x2 + x+2 2 Tan Ve fx-1 ax + In{(x+ 1)*(x² – x + 1)"| + The resulting integral of -X+ -1 + C,…

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Q: 1 dy J yi + 3y² + 1

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Q: The order of the differential equat 2x2 - 3+y = 0 dy + y = 0 dx2 dx O not defined O 2

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Q: (ii) o S(2xy + z)dx dy dz z=-1 :0 Jx=1

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Q: 36. Using the approximation dy dy h dr * Yn+1- y. and that dr 1, y = 2 when r 0. Then, y A h- 2 h+ 2…

A: Please see the answer below.

Q: 36 – y8 -dy y5 Integrate:

A: SOLUTION-

Q: {[{ ال 1: تحق ق من دالة التالية تحق ق معادلة لابلاس :س Z = In /x2 + y² اضف ملف ك 3. fxy ل لدالة :…

A: To find  Partial derivatives of the given functions

Q: 4. Is y' = sin (ty) separable a) not separable c) separable %3D b) for y =, yes d) with a proper…

A: We have to check whether the given differential equation is variable separable or not.

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

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Q: |1-y2 ху Q3. Evaluate the double integral dxdy /1– y²,

A: We have to find solutions

Q: Recall the Power Rule for Integration for n + -1. un +1 + C u" . n + 1 In this case, u = 2x + 1, u'…

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Q: 2 Solue Bor メ= o-5 dx = y X (6) = 0 dt dy =_X yo) =I %3D

A: As per bartebly Guideline we can solve only one question.. Hope you understand

Q: dx como serie de potencias resu 1+x* Al evaluar la integral indefinida 4n A. Y +C 4n n-0 -+C 4n+2 c.…

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Q: 9. Evaluate the integral ex V2e-2x – 3e2x 2/2e-2x – 3e2x +C А. 1 3eªx – 2+C B. 2/3 Arcan V3e2x…

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Q: 2. Integrate: x² In x dx a. In x+c. b. [(In x)² ++c c. [(Inx)² - Inx+]+c d. none of these

A: The given integral is x2lnx.

Q: integrals in Erarnices 6 to 20: dx 8. (ax +bx+c) dx 7. Vx - 1 dx (11 x' +5x - 4 dx dx 10. - dx…

A: Given :

Q: dy Use 4th order Runge - Kutta method to integrate step size of h = 0.5 and an initial condition of…

A: Let dydx=f(x,y) and the initial condition is y0=f(x0) . The 4th order Runge-Kutta method uses the…

Q: i need help to solve this: y''+ 5y' + 6y = δ(t-2) intial conditions: y(0)=0 ,  y'(0) = 1

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Q: 3 9-x 9-x2 Evaluate the integral dz dy dx. 0 0 . 0

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Q: 5. Evaluate the integral. 1 -dx æ² – 1 a) b) S. +4 -dx x² + 4

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Q: 6. dQ/dt + 2Q/(10 + 2t) = 4 ; Q(2) = 100 7. dz/dy – (2/y) z = 2/3 yª 8. (x + 1) dy – 2y dx – 2(x +…

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Q: .4 4-y Q3) Evaluate triple integral , S S dz dy dx.

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Q: First order linear in (y-x+xycotx)dx+xdy=0

A: The given problem is to find the solution for the given first order linear differential equation.…

Q: 2. Evaluate the integral. -2 (a) (x² – 3x) dx - -1 •3 (b) Lce L(e + 2)(t – 3) dt -2 (c) 2.9 x° dx

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Q: 3 In (sec v) 2t Evaluate the integral ex dx dt dv. 00

A: Topic = Integration

Q: (2) An integrating factor of (xy³ + y)dx + 2(x²y² + x +y*)dy = 0 is (a) y (b () (d) 2xy

A: We need to find an integrating factor of xy3+ydx+2x2y2+x+y4dy=0 Now, a differential equation of the…

Q: Evaluate the integral. 고-36 x² – 36 . 6cos- (승) +0 /x² – 36 - dx = Vx² – 36 – 6cos¬! + C x² – 36…

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Q: (x In 2x dx = u v- Jv du -Svdu- Using Integration By Parts, Fand uv- fvds uv- Jvau 3 3 xVX In 2x-V지…

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Q: 2015-2016 yılları arasındaki üniversite yıllık ücreti ne kadar olur? Soru 3. Integral Hesaplama…

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Q: 3. Evaluato S S (2x + y)dx dy. 14-1 1-gt %3D %3D ダー1 %3D 6. %3D %3D 3 3 1.3 = %3D %3D

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Q: 14. Evaluate 4y dx +3ax dy, where C is the trapezoid with vertices (0,0), (2,0), (6,2) and (0,2).

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Q: 4. Evaluate ryz dV, S is the solid in the first octant S bounded by the cylinders x² + y² = 4 and x²…

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Q: 1 transforms the equation x dy + y = xy2sin(x) into The change of dependent variable y = dx dv A.…

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Q: 6. Find S(3y – y³) (1– y?)dy sin ycos y 7. Integrate: J sin² y dy 8. Find 3 S(5 - 3y-5)²dy

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Q: 2. Integrate: x² In x dx a. Inx+c b. [(In x)² ++ c c.[(Inx)² - Inx++c d. none of these

A: To evaluate: ∫x2ln x dx

Q: 6. If z2 = x2y2 (where x, y, and z are positive), and dz then what is when x = 2 and y = 3, given…

A: Given problem:- If z2 = x2 y2 (where x, y, and z are positive), and dz/dt then what is when x = 2…

Q: d²x + cos(t)- dx sin(t)- + sin(t)x = tan(t) dt dt2 x(1.25) = 6 dx = 5 dt 1.25 has a unique solution…

A: The differential equation  d2ydt2+ptdydt+qty =rt                    .......1 with conditions yt0=y0,…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.