Solve the following non- homogeneous Symmetric integral gns. 2. 1- K(xっt)Uct)dt, %3D 1203043 K(nt) = n(2-t) O< uとt 2. t(2-1) 2.

Q: Evaluate the following iterated integral. 1 2 dy dx 0 0 1 2 dy dx = 0 0 (Type an exact answer in…

A: Here I am attaching image so that you understand each and every step.

Q: The particular integral for (D2 + 12)y = cos20z is O yp (cos20z) 388 (cos20z) O Up 412 Yp = (cos20z)…

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Q: Q2:Solve the integrals as in below: a²+b² 1- j dy 2- S dy e -0.5 2y 3 1 3- (7-V5y ²)² . e dy 4- dy…

A: 2 . ∫0∞ e-(y2-3y)a2+b2  dy  = e-(y2-3y)a2+b2.(y33-3y22) limits from 0 to ∞ Now e-(y2-3y)a2+b2…

Q: 4. Evaluate the following integrals: (a) S (2x³ – x² + 3) dx (b) S x*Vx5 – 1 dx (e) Í T ds 2s+3 (d)…

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Q: Determine the fool wing integrals: 1. e2*cos3xdx . 2. J.x² In(x+ 4) dx -

A: Use integration by parts

Q: The particular Integral for (D² + 19²)y = sin19z is Yp 38 O Yp 19 O None O Yp Zacon19z 38

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Q: In (ale) (2– sec²x)«m#/c°sec³x sec(3A – x) What should be the value of A for dx to be integrable…

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Q: subpart D

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Q: 10. Evaluaté the following integrals (b) J3 -6a+13 1 (a) S x²+1 -0 x4+1 ;d.x

A: We can solve this using partial decomposition and using integral

Q: 13 u(x) = 1 xtu(t)dt. %3D -x 3

A: The  Fredholm integral equation given as: u(x)=13x3-14∫01xtu(t)dt Here use approximation method to…

Q: 10. What is the constant multiplier to complete the integrand in terms of u for dx? x +3 A) B) C) 4…

A: 10. The given integrand ∫x3x4+3dx11. The following integral is equal to 54.

Q: -2 2 7e" + dy -5

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Q: B- Evaluate the following double integrals: .2 .4 1) | (x+ 3y x²)dy dx

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

Q: I. Evaluate the following integrals: vdv 1. S 6v2-1 x+3 2. Sdx x-1 (v-3) 3. S dy y2-6y+1

A: The most easy method to evaluate these types of integrals is substitution method. Or else you can…

Q: solve the following Guassian integral : (yi – Y;) – (0; – 0;)e V21

A: Given integral is, Now,

Q: We'll now apply the integration by parts procedure to the new integral e70 cos(80) d0, letting U =…

A: The given integral,∫e7θ cos(8θ) dθ

Q: Which of the following integrals is suitable to solve a+9 dx by partial fractional method? 4x3 –16x…

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Q: Q2:Solve the integrals as in below: (y2-3y a²+b² dy 1+/y o 2- S 1- dy е (7 (7-J3y²) -0.5 2у 3 1 3- S…

A: According to the guidelines of bartleby I will do only first question please ask rest of the…

Q: dx e2a +5

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Q: Evaluate each of the following partial integrals. 1. 2 co e*sinydxdy 2. (x + 2xy - 3y?)dydx II. 2e…

A: It is partial integral

Q: a) Consider the following. 5x dx (x²+1) i) Find z = (In t)² dt ii) Evaluate the integral

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Q: The particular integral of (D² +1)y = x is

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Q: The Particular Integral for (D2 + 5D + 6)y = e3z O None O Yp 30 elz O Yp O Yp =

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Q: Evaluate the followmg integral & S 1ox3 dx che 36-x2 dze 193161 21 16d 02 xim ga 6m 2ti 2…

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Q: Evaluate the following sum of iterated double integrals 1 2y c4-2у Ar-z dx dy + 4x-x2 e Az-a dx dy…

A: Due to  change of order we get a single iterated integral and easily it can be evaluated.

Q: 1- Evaluate the following double integral using Ax = Ay = 0.5, and Trapezoidal Rule of Integration.…

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Q: Determine the following particular integrals: -{3x²e-x} 2.1 2.2 1 D² + D-1 1 D² - D+2 {8 sin x cos…

A: To Determine: the following particular integrals:   2.1 1D2+D-13 x2 e-x 2.2  1D2-D+28 sinx cosx

Q: 1-Evaluate the following integrals 1/4 a) d x 4. b) SyV4-y dy

A: Consider the given information: To evaluate the integrals.

Q: Show that x?e* H,(x)H,(x)dx = 12"n!| 18.2.4 This integral occurs in the calculation of the…

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Q: Q.-Reduce the homogene ous Fredholm integral equatim afkc x, t) ult) dt where sin hx.sinh(t-1) sinh1…

A: Let us consider a homogeneous integral equation y(x)=λ∫abK(x,t) y(t) dt where, K(x,t)  is kernel…

Q: 1. Evaluate the following iterated integrals: (a) S x²y dxdy (b) Lx sin y dydx.

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Q: Solve the following partial integral (a) J 3r444r -29 (b) J-4)2 ( 43) Using the Trapeziodal rule…

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: 1. Use substitution to evaluate the following integrals: dt arctan(2t) dt (b) t/1– In't (а) 1+ 4t2

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Q: If the current is defined as I(t) = sin (t). Using the Trapezoidal approximation for the integral,…

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Q: 4. Evaluate the following integrals: a) (22x +5e-*)dx b) S(esecnx sec Tx tan x)dx -In 16 e*/4

A: # we are entitled to solve one question at a time  please resubmit the other questions if you wish…

Q: The value of the triple integral (x² + y²)dV where E is the E portion of x² + y² + z² = 4 with 0 ≤ y…

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Q: Q2:Solve the integrals as in below: 2-3y a² +b2 dy 1- j 2- S 3 (7* (7-3y 2)2 dy 0.5 2y 3- S -1 7 + e…

A: (Solving first three subparts as per our guidelines) Solution: 1.∫01yy5+1dy Now, ∫yy5+1dy…

Q: Consider the following integral. XV2 - x dx (a) Integrate by parts, letting dv = /2 - x dx. + C (b)…

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Q: Evaluate the integrals et + 2e²' – e' dt e' dt 39. 40. e21 + 3e' + 2 e21 + 1 cos ydy sin? y + sin y…

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

Q: 1. Determine the following indefinite integrals: S (Ax-1 - Bx-3 + Vx") dx a) ez (wt) – cos(Ewt) )…

A: A=2.6, B=6.4, C=2.6, D=3.4, E=2.7 To find:-

Q: Find the integral of t/(t^4+2) dt

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Q: Solve the following DE, using Separable method. y'In ly| +x*y =0.

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Q: Consider the indefinite integral Ва3 + 21? + 5а + 0 dx x² – 1 | Then the integrand decomposes into…

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Q: Find the following integral: 1 y-1 S S 2æy²dædy = O y? –1

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Q: Evaluate the integrals below. 4 x2+6 dx 1 Vx TE/7 a. b. sin(t) dt Tt/3 C. x2Vx3+2 dx с. Tt/4 d. 5(1+…

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Q: (3) Using Hilbert-Schmidt theorem, solve the following integral equation: (1) y(=) = (x+2)*+ /…

A: Given integral equation, yx=x+22+∫-11xt+x2t2ytdt          ...1 Here fx=x+22, λ=1 Firstly find the…

Q: /4 1.* Use the following property of the definite integral to estimate the definite integral:JCcos x…

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Q: In (x le) (2– sec²x)elmtafcsec?x sec(3A – x) - dx to be integrable using the formula 'du? What…

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Q: A-Evaluate the following double integral - (x² + y²) dy dx fo

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Consider the indefinite integral (5x³ + 4x? 73x – 52 dx 16 Then the integrand decomposes into the…

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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.