Alıştırma 5 Aşağıda verilen ADD lerin özel çözümleri yanlarında yazmaktadır: 1 y" – 5y' + 6y 1, - 6 y" – 5y' + 6y x, 36 - 6. et y" – 5y' + 6y e , - 2 buna gӧre у" - 5у' + 6у — 2 — 12л + 6е" denkleminin bir özel çözümünü bulunuz. +

Q: If U(x,y)=In(x²-y³) then Ux+Uy= ... XX

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Q: If =x+3y-z,=4xyz, w=22 -xy evabuate d(u, v,w)/ (, 2). at (1-,0).

A: We have to first find all partial derivatives.

Q: az az and at the point (-1, -3, -2). Suppose ry z - 94 = 4xy – z. Compute ду dz |(-1,–3,–2) az…

A: An important result from advanced calculus, called the Implicit Function Theorem,states the…

Q: 5-341W-letEbeEuclideanspace then inner prooluct >isbilihear pmayp(4w)

A: Answer

Q: X + x, + 4x, 9х, = 7 X2 2х, + 6х, 17x, = 5 2x2 4x, + 9x, 25х, 12x, = 4 = 7 4x4 explain the solution…

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Q: Prove that (RUS) (TUW), if we know as given from the problem that: RCT and SEW Justify each line of…

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Q: 5. Show that if x,y∈Z and 3|x^2+y^2 then          3|x or 3|y 6. Show that if c=sa+tb where c=(a,b),…

A: Please check that x=1,y=3, then x^2+y^2=10 does not divide by 3. So  must 3|x and 3|y instead of 3|x…

Q: 25. If mRU = (16x - 13)', mSE (11x - 24)', and M2STU = (3x + 1)', find mŠU %3D Iex-13. mSU=

A: By visuals, we can say that RS is diameter in this circle.

Q: 3 Rnd the lineasion of the hunctran f(xLcos line asiz l

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Q: Consider the model Yi Bo +31 Xi + ui Where u = B₂Z; is unobserved. You know that 32 = 1 and you…

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Q: Suppose that receiving stations​ X, Y, and Z are located on a coordinate plane at the points…

A: Given that receiving station x = (15,7)   ,  y = (-9 , -3) &   z = (-9 , 7)Now, let coordinate…

Q: 1. E is a triangle with vertices (1,0,0), (0, 3,0) and (0, 0, 2), with 8(x, y, z)=xz+1.

A: Note: As per our guidelines we are supposed to answer only one question and the rest can be…

Q: 3.- De la figura, calcular "a°+Bo" Bo 40° За%

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Q: b)Show that, 6(z, 3zy – y' and (z,y) = -+3ry are harmonie

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Q: 5. Determine mZU if mZR = 9x 10 and mZU = 3x + 4. %3D %3D R S T. mZU = 50.5° mZU = 35° %3D mZU = 75°…

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Q: 2)Give of a homogeneous syatem of equatians with 2 equations and 2 unknoan's. 3), Why is cury…

A: 2) Take the system of homogeneous equations            x+y=0          x+2y=0

Q: 2. Solve the following Cauchy problem: u = u -0 0, u(x, 0) = 1 -1, u(1,0) = 4r, -00 <I< 00.

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Q: If X is the number of heads obtained in four tosses of a coin, the 1 is 1+X mode of Y =

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Q: 1- Two vecters n'and mª anl Said to be orthogenal if n'entzo T b. F a.

A: The given statement is: Two vectors n and m are said to be orthogonal if nxm=0 To determine whether…

Q: In an arplane hydraulie system 60 % of the leaks are cased by damage to the nipple joint with the…

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Q: Then, we assume that Wn+1 - H Wn - l kn+1 kin 1 2 E Wn-p Wn-p p=0 p=1 (6) n+1 - € Zn - € Vn+1 = 1 Vn…

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Q: If C, C2 Cn are Constovts 1-1 . a,, uzXz) ---- Un (X)ave livffen antiable 4111 funetions at x with…

A: Introduction: The differentiation of a function y=fx is defined as f'x=limh→∞fx+h-fxh This is…

Q: 3. Evaluate Se(x² – iy²)dz along the straight lines from (1, 1) to (1, 8) and then from (1,8) to (2,…

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Q: 3/4 mDH= 24. If MMOP= (11x-38)' and MZLMP = (3x + 41)', find MZNMP. N M NMP= 25. If mRU = (16x –…

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Q: Show that the Adam-Bashforth method 3 Yn+2 = Yn+1+hf(tn+1,Yn+ 1) – hf(tn,Un) has local truncation…

A: We have to show that the Adam-Bashforth method            yn+2=yn+1+32hftn+1, yn+1-12hftn, yn…

Q: 14- * + 4y = sinz diferansiyel denklemin mertebesi aşağıdakilerden hangisidir? 9 0.5 19040

A: Which of the following is the order of the differential equation?

Q: 1. If WX = 8 and WZ =10, XZ=. 2. If WZ 3. If XZ 4. WX 5. If VZ = 24, WX = 10 25 and WX = 7 %3D 14,…

A: Given that:                                        NOTE: As per our answering guidelines, we can…

Q: 12)List the first five berms of Ehe regence a,=6, aan= 5a -4 as=3 a=? asz?

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Q: 2 4 2 b 4 A-= HW: Vu Tn f eray if archy well dehud Theant Th deth)wel Y 4je T dat(A)=A Sle D 4 2 A-…

A: Given that,

Q: 3sin4t dt 2. 5(1- 3cos21)

A: We have to find integral

Q: 40. In isosceles AMNP, MN = MP. With point Q on MN, MO = QP = PN. Find mZM and mZN. Q 384.

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Q: cos(−4x) + cos(12x) / cos(4x) is equivalent to: Select one: not in the list 2sin(4x) 2sin(8x)…

A: cos(-4x)+cos(12x)cos(4x) is equivalent to 2sin(4x) 2sin(8x) 2cos(4x) 2cos(8x)

Q: 4. Solve the following IBVP: 0 0, u(0, t) = u(1, t) = 1, t>0, u(x, 0) = u;(x, 0) = 0, 0<x<1. Utt =…

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Q: 2 Test the distavnce formula fer froblem in Ex-© aboue unkarred coordnates ane (2,-1) and (2,-4) on…

A: Distance b/w (2,-1) and (2,-4) = ((2-2)2 +(-4+1)2)0.5…

Q: 5. Show that xZx + yZry = yezy if z= xy + y In xy

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Q: round (cov (DFRAME), 2) M N 0 M 2.71 -1.33 0.38 -1.20 0.78 N -1.33 2.89 -1.44 -0.89 0.38 -1.44 5.60…

A: The covariance between two variables say, X and Y is denoted by Cov(X,Y). The covariance between X…

Q: If W = 2x 2 + 3xy2 - 20y-2+ 6u; where x = 5u2 +4v 2 and y= u - 4v3 , find §W / §V.

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Q: 17 Jlgull Classical theory fails appeared sharper when applied on the movement of the electron of…

A: True

Q: Tofology 2. EX しT X={12/3/4 /5,6 T=Eメ,中っをり,立る, りろ4。 LeT {1,3,4), Topology ? زژه اوم.

A: For the given statement

Q: Find y' in y = (x³ 3x²(x²+e) x³ +3 A. y' = B. y' = C. y' = +3)(x²+e) +7x6 In (2³ + 3) +7x6 (x³ + 3)…

A: Understanding of derivative when function is there in power of any function.

Q: 9. Fiyt: computational domain . white dhe distrie tization form of ihe governing dffunhial equaliony…

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Q: Then, we assume that Wn+1 - H Wn - u kin+1 kn 1 2 E Wn-p E Wn-p p=0 p=1 (6) Zn+1 - € Zn - E Vn+1 Vn…

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Q: fx, x, (*1 *2) = 16 1X¡l < 4, 2 < X2 < 4 are independent and orthogonal.

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Q: 10. If mZTSV= (6x + 17) and mSV = (15x + 13)', find mSUV. %3D T

A: A circle

Q: 5. Define the terms : Skewness and Kurtosis.

A: In statistics there are two types of measures namely measures of central tendency and…

Q: (5x – 8)°, In ANOP, mZN mZO = (x – 5)°, and mZP = (6x + 1)°. Find m2O. -

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Q: 13. If w(x,y) = In(1+xy²), show that 2wxx + y³Wyx = 0. %3|

A: Given: w(x, y)=ln(1+xy2)  To show: 2wxx+y3wyx=0 Chain rule : ddx(f(g(x))=f'(g(x))g'(x) Quotient…

Q: > round (cov (DFRAME),2) M N M 2.71 -1.33 0.38 -1.20 0.78 N -1.33 2.89 -1.44 -0.89 0.38 -1.44 5.60…

A: A linear regression equation of Y on X can be expressed as : Y = a+ bX  where a and b are estimated…

Q: Apply Euler method and Richardson extrapolation anthe problem y' year=o. and approximate y and 1…

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

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.