(x? + y?) dy, where C is given in the accompanying figure (3, 3) C (0, 0) (3, 0)

Q: 12 Evaluate (x + y – 3z) dV where E = {(x, y, z) | - 7< y < 0,0 <a < y,0 < z < x+y'} -2270.94

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Q: (6) y" +16y = g(t), y(0)=0, y (0)=1, %3D g(t) = { 1, 0<t< T 0, %3D

A:

Q: H.W1:- y':= x+2y by using Euler method find y(2.5)? Where h=0.1, y(2)=3

A: I am only solving the first question.please submit the question again for the other parts.

Q: 5. (2D² + D² – 3D)y = 0 -3x a. y = C, + Cze¯+Ce¬* 3x b.y = C, + Cze + C,e* c.y = C, + C;e+ C,e* d.…

A: Solution )

Q: Vx € N, x² > 0 3. 3x € R, Vy E I+ | = 1 4. Væ E Q, x² > 1 6. E Q, = -3 నా | || 5.

A:

Q: 1 - Z Res Iz=00 z(z + 1)) Iz=∞ a) 0 b) 1 c) -1 d) 2 e) i

A: We have to evaluate the residue of the complex function fz=1-zz1+z at z=∞ which is denoted by…

Q: h 2, k -1 and r 5 %3D (x - h)2 + (y- k)2 = r2 %3D %3D wwww x2 + y2 +Dx +Ey + F 0

A: Given:- h=2, k=-1 and r = 5 To find:- Equations of circle in form (x-h)2+(y-k)2 = r2  x2 +y2…

Q: 3. Obtain the general solution 3 3 y.(x .y + 2-x – y) dx+ 3 - 2).dy = 0 x (xy |

A:

Q: where Z₁-WN(0,0). Assume you know that E(X)=3,u= 1 and ² = 1. What is the value of $?

A:

Q: X - X UIS dx ? %3D 22n „(1-)3 (e) (2n).(2n)! I=u (c) (-1)" (2n+1).(2n+1)! -3 (P) I=u I=u 2n K (a)…

A:

Q: What is the annihilator for y=x e*cos 2x ? (D²+5)2 ® D² +5 © (D²-2D+5)2 D D2-2D+5

A: See the solution.

Q: Find Vf at the given point. f(x.y.z) = x? + y³ - 4z² +z In x, (1,1,5) vfl(1.1.5) =D+(Oi + (_)k…

A: Given : fx,y,z = x2+y3-4z2+zlnx

Q: 1 - z | Res z(z + 1). Iz=00 а) 0 b) 1 c) -1 d) 2 e) i а. b. С. d. е. ||

A:

Q: y? x² 4 Find dV , where E is the solid y2 x2 + 4 z2 - <1. 9 + +

A: First we have Choose suitable parameters.

Q: (1) E(x, -x)² =Ex} – nx² | (ii) E(x, –x)(y; -y)=Lx,y, – nxy (üi) E(x, – x)(y, – F) =Ex,(v, - )

A:

Q: w(z^2+w^2)dz-z(z^2-w^2)dw=0 find the general solution

A: I have solved the given differential equation by homogeneous differential equations method

Q: 1. (D4 + 18D² + 81D²)y = 0 a. y = C, + Czx + Cze®* + C4xe¬9* b.y = C, + C2 + Cze-9* + C4xe-9* c.y =…

A:

Q: QI/ Find G.S for following D.E (4x- 2y+2) dx -(2x-4y+2) dy 0 12

A:

Q: 2. y" – 2y' – 3y = e²", y(0) = 1, y (0) = 0, Yp(t) = -e2' /3 %3D

A:

Q: dy 2x+y(6y? – x – 1) = 0 dx y?(6 + Cxe") – x = 0 x?y?(6+ Cxye*y) – xy = 0 x?(6 + Cye*) - y = 0 None…

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Q: (3 + y + 2y²sin²x)dx + (x + 2xy – ysin2x)dy a. F = y? + x? – 4xy – 6x – 2y2 + C b. F = x?y? + x² –…

A:

Q: 2y4+x4 etermine the classification of the given DE, y' = and solve in the хуз n of M(x,y)dx +…

A:

Q: d?y Find at t = -1 if x = e' , y = tet dæ? О А. -1 O B. 0 O C. 2 O D. e-1 O E. e

A: Given that: x=et and y=tet

Q: 2. (D2 - 121)y = 0 %3D a. y = Ce-x + C,xe1l* b.y = Ce-11* + Ce-11x c.y = Ce-11x+ Cze1x d. None of…

A: We have to find

Q: Find the function y(x) satisfying -8/9 = 6x dx and y(-1) = - 4. dy :-8/9 The function y(x)…

A: Integrate the equation dydx=6x-8/9 with respect to x.…

Q: f(x, y, z) = evx*+y →f = e" 1<x? + y? s 4 →r = 2,r = 1 2 6 3 !! e"r dz de dr = er rdz de dr = =…

A: In 3 dimension the point (x,y,z) can be identified as (r,θ,z) called polar coordinates or…

Q: 1- z Res z(z + 1). Iz=00 a) 0 b) 1 c) -1 d) 2 ||

A: Res( f, ∞) = - Res 1z2f1z, 0

Q: i)S V+ 3. + e dy

A: We have to find the integral of given function .   Here student asked only one question so that i am…

Q: 6. = f(z)=(-1+i)z-2+3i D = {ze C|Rez≥1}, where w= E

A:

Q: 4- fil0,00)→R all continious Aunction aro Sx³f(x?)dx= Sx f(x) dx %3D show this.

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Q: f(0) = 1 ise f(1) =? S xf'(x)dx = 2x³ + 2x² + c , 4 - O A) 7 OB) 5 O C) 8 OD) 10 O E) 15

A:

Q: h = 0, k 0 and r 8 %3D %3D (x - h)2 + (y- k)2 = r2 x2 + y2 +Dx +Ey + F = 0 %3D

A:

Q: h = -3, k = -2 and r = 7 %3D (x - h)? + (y - k)? = r2 ww x2 + y2 +Dx +Ey + F =

A: We have to solve the equation

Q: 1 f(z)dz? 2ti. What is

A: This is a problem of complex analysis.

Q: y-y = z'y? denkleminin çözümü aşağıdakilerden hangisidir? O b.y = -aie 2212) Ocy = O d. y = O e. y =…

A: Given DE is y’-y=x2y2 find the solution of the DE

Q: (2xy + 3x²)e +(x² – 2yz + 2y)e,y- (e² + y²)e, olan f(x, y,z)

A: Given

Q: 2z2 - z+1 3. Evaluate J.E- 1)2(z+1) dz for T below. |

A:

Q: 7. | y² dA, D= {(x, y) |–1< y< 1, -y -2 < x< y} D y - dA, D={(x, y) | 0 < x < 1, 0 < y< x} x + 1 8.

A: On solving these integration we will get

Q: 1 - z Res z(z+1). Iz=00 а) 0 b) 1 c) -1 d) 2 e) i а. b. С. d. е.

A:

Q: dy Obtain the general solution to the equation + 2 = xy² а. ху(-x + C) %3D 1 b. ху(x + C) %3D 1 dx…

A: This question is related to differential equations, we will solve it using given information.

Q: 2 +3 z4 – 222 +1 +e/dz, C: |z- i – 1| = 2, CCW. 8. Evaluate C

A:

Q: Using the substitution x = sec 0, -dx x²Vx² – 1 - where x > 1, is equal to 2vx2–1 + C x² – 1 + C X X…

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Q: 11. y" – 2y' + y = e', y(0) = -2, y'(0) = 2, yp(1) = Įře' %3D

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Q: FCX)= [x+1 X -0, Y +I when X 7] when X <o,owhen gidu banav on is FCX) Continous a X = 0 And why CIA

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Q: '0- DXJ 1- E K 2- DxF 3- Show that A×C÷C×A

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Q: k+3 If fx+ k)dx=8, where k is constant, f(x+ J (x)dx=? then k-1

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Q: 2. j - ÿ + 4ÿ – 4y(t) = t; y(0) = ÿ(0) = 0, y(0) = 1 %3D

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Q: e 3z -で dz (ez + e5z)2 I = 0,

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Q: -3, axy + bx°y"; with a and b constant. P is a point given by (1, -1) and it is Let known that dz…

A: