Sy + e YLO) = 2 LINE I dy 2t INE 2 | %3D At let v= y chro 3y? dy LINE 3 LINE 4 LINES dv 3 dt UNE 6 do 3e-2t dt LUNE 7 -2t んt) = e LINE Q %3D LINE 9 o-15t dt ー7ヤ LINE O LINE I e- I5 = -3 -17t + C 17 LINE 12 v = 2t + cert 17 LINE 13 st y = ceot 17 LINE 14 when 6=0 y=2 LINE S (2こ Ce'so 3. LINE 6 C = 8+ 3/y LINE 7 Cこ 39 17 LINE 18 139 1st 3 2t 17 17

Q: PRIXION BALLR 1. Evaluate SS R dA 2 25671 u= duy 2x'dx *dux dydy. 2X 21 2. %3D %3D %3D 10 Inliegl-In…

A: Evaluation of the double integral, by using the substitution method

Q: What does Cauchy's EU Theorem 6.2 guarantee for the IVP dy/dt = -(y^2)/2t , IC: (t_o,0) a solution…

A: The given equation is  dydt=-y22t I.C. =t0,0

Q: dN1 N1 (2 – N1 – 2N2) = f(N1, N2), dt (1) dN2 = N2(3 – N2 – 3N1) = 9(N1, N2), dt where N1 = N1(t)…

A: Please check step 2 for the solution.!

Q: X(t) and Y(t) are two random processes with cross correlation, R(t, t+ t) = AB [sin(@,T)+ cos(m,(2t…

A:

Q: For a special fully continuous last survivor insurance of 1 on two independent lives, (x) and (y).…

A: two independent lives are given x and y are independent

Q: f(In x)2 dx O-r(Inz)² - zlnz+z+C -z(lnx)² + zlnz+ 2z+C O-r(Inz)² - zlnz+z O None of the choices…

A: The objective is to integrate the given function Use integration by parts, which states that…

Q: 11. y/" + 3y + 2.25y = 9t3 + 64, y (0) = 1, y (0) = 31.5 (V Answer (s + 1.5)'Y = s + 31.5 +3+ 54/s4…

A:

Q: 7. Minimize c = s+ 3t + u subject to 5s - t + v > 1,000 2,000 s + t > 500 s 2 0, t > 0, u > 0, v >…

A: For simplification : s = x1 t = x2 u = x3 v = x4 Let c = Z Z = s + 3t + u = x1 + 3x2 + x3

Q: uctioln of utili nousenold function: U = | e-p" [In Ct + BIn(1 – 4)]dt, (11.17) where the parameter…

A: Decentralization and poverty reduction may be correlated, but theoretically, there is no clearcut…

Q: Compute Ay and dy for the given values of x and dx = Ax. y = x2,x = 1,Ax = 0.5 a. Ay = 1.25, dy = 1…

A:

Q: dr = (t ) dr = (2, -1, 0) SF.dr 2 XYz1-X yJ +z°x K • <2,-1,07 SAXyZ +Xy dt 4 S4(2t)(-t)(1) +…

A: Yes answer is correct...

Q: 33. x-t= T2+1 35. uv = x + w2 37. x- abc = a³ 39. a+ bc = x- cb 34. w= 36. 13+x= T³ 38. mn2 m3+ x…

A:

Q: Compute. (a) ds/dp if s = 3( p2 + 5p + 1)10 (b) d/dt (at2 + St-1 + S2)

A: (a) We have given s=3p2+5p+110. To find dsdp we have to differentiate s=3p2+5p+110 with respect to…

Q: (11) When the conditional density of X given Y = y E (0, 1) is 2x fx|Y=y(x) = y < x < 1. 1- y2…

A: We have to solve given problem:

Q: Let yt = φyt−1 + et with et ∼ WN(0,σ2) and |φ| < 1. Consider the over-differenced process wt = (1 −…

A: Given that, Yt=φyt−1 + et    ; |φ|&lt;1 (1-φB) Yt =et       ϕ(B) Yt=et where B is back shift…

Q: 15. Solve Orx + Pyy 0, -a < x < a, 0 < y < ∞, 8o, 0 < |x| < a, Oy (x, 0) = 0, || а. $ (x, y) → 0…

A:

Q: Find L(x). 2y -a = 3t y+z' = 3e z (0) = y (0) = 0 = (x) T0 (s+1)(s–2)(s²+1) OL(z) = 3s2 3(s-1) %3D…

A:

Q: x = In(z + y) yüzeyinin P(ln 5,1,2) noktasındaki teğet düzlemine dik olan ve Q(1,1,1) noktasından…

A:

Q: min zd = 2y, - y2 + 3ya 3y - 2y2 + ya = 1 Y + y2 - 2y3 s 2 -Yı +y2 - 5y3s-1 Y, sin rest. ; yz, Y3 S0…

A: To transform a primal problem into dual problem we follow some rule.  If the primal problem is…

Q: Subject to: 2x +y 28 ,x and y 20 4x +y2 12 2x + 3y 2 12 inet is the velue of y in oraer to minimize…

A: Given query is to find tha value of y to minimise the C.

Q: Suppose that Yt follows the stationary AR (1) model Yt=2.5+0.7Yt−1+&varepsilon;t, where…

A:

Q: let y!l-3y'+2y=e ,y(0) =1 ,y' (0) =0 , find L (y) s2 - 4s+6 .a O (s-3) (s-2) (s- 1) s2 - 5s+12 .b O…

A:

Q: 2. Z(t) = v2t – 4 %3D Z'(t) = %3D JOHN GIL AUGUSTO SY JOHN GIL AUGUSTO. C HN GILAU OBYJOHN…

A:

Q: S= Evaluate Ox² - 4x 2 Ox²–2x 2 O x² - 2x - In x² - 4x 2 3x5 3x4+6x + In 3x² - 6x - (x-1) 1/6(x+2)…

A: Explained below

Q: Sues tion We have a Cinear equation; yux- xuy =0 Initial condition is; u(x1 y-s) =s that is *0, s) =…

A: From the given information. The given linear equation is as follows. The initial conditions are as…

Q: a. Suppose Y; = B1x; + €;, i = 1, ..., n. In this equation x is non-random, B1 is a parameter…

A:

Q: solve Qno7

A: You say to solve the question number 7 .ok y"' +6y"+12y'+8y=12e^-2x

Q: The subscript s indicates that s is being held constant. Then dividing by dt, we have du/dt as…

A: Given, u=x2+2xy-ylnz x=s+t2 y=s-t2 z=2t

Q: 2. Consider the linear regression y, = Bo + B,x, + u, i=1,.,n,n+1,.,n+ p where E(u,)=0. Is it…

A: Yes it is possible when there is an omittedvariable bias.

Q: 4 2 The reverse order of the integration o SEF (x, y)dydx is A) S S* f(x, y)dydx 0. 4 B) Só Sf(x,…

A: Here we have to change the order of integration.

Q: Model: 2 • reg testscr str comp stu Source SS df MS Number of obs = 420 F( 2, 417)= 22.12 Model…

A: Hello! According to our honor code can answer only three parts at a time. As you have not mentioned…

Q: 10. If µ(x, y) of the the DE. x" y" is an integrating factor (12 + 5ху)dx + (6х у-1 + 3х?)dy %3D0…

A:

Q: 3. Find the solution of the given initial value problem using Method of Variation Parameters (MVP):…

A:

Q: b) Is X(t) wide sense stationary?

A: Given That,                   X(t)=Ucost+(V+1)sint E(U)=E(V)=0 and E(U2)=E(V2)=1

Q: mple 18-9. For the distribution dF = {Bexpl-B(x- dl dx, x 2 Y 0, x<y show that for a hypothesis Họ…

A:

Q: If Saz dy = In|ly +1- Inly +2| + c, then S- %3D y2+3y+2 dt = e2t +3et+2 In(e' + 1) + In(e + 2) + c…

A: The objective is to find the correct option

Q: y" + 5y" + 12y+8y = 0 denkleminin çözümü aşağıdakilerden hangisidir? %3D O a.y = c,e2 + cCze²#…

A: The given differential equation is: y'''+5y''+12y'+8y=0

Q: 3. Gven L Gven Tmex Distancey (s) x Tme (s) y Power (W) 0.50 (m) 10 0.90 80.0 30 20 2.8 L0.0 5.0 3.0…

A: Given table is  time x (s) Position y (m) 0.10 60 0.20 50 0.60 30 0.80 20 0.90 20…

Q: (2A tan R initially contaivns Guc c of Sulutiunin which there i5 dissolued 1500 of chemicoalo A…

A: !st we will make differential equation of amount of salt and then will solve it to get amount of…

Q: (g) The stochastic process defined by dX, = X,dt + X,dW1, X(0) = 1, %3D %3D where Wt is standard…

A: Here, we discuss whether the statement is correct or wrong in the case of stochastic process under…

Q: (x+2y-)み + (2メ+y+)dy-o let メーuー1, dx = du yev-l, dy edy UNE 1 LINE 2 レINE 3 (1-1+ 2y- 2-1) du +…

A:

Q: Q. Three: For processes X(t) = 2A cos(t) and Y(t) = B cos(t) where both A, B are random variables.…

A: Given that, for processes Xt=2A cost and Yt=B cost where both A, B are random variables.

Q: 1/8 1/8 1/8 The joint pmf for X and Y is given in the accompanying table.  1)Compute P(X0) 2)Find…

A: It is an important part of statistics. It is widely used.

Q: Compute the flux

A: by divergence theorem flux=∫∫sF.ds   =∫∫∫E div F dv Given F=x,y,zand   S; is the boundary of the…

Q: or a mortality study of insurance applicants in two countries, you are given: Country A Country B d,…

A:

Q: 5. RV's X,Y with pdf f(x,y) = 20nV0.75 Find covariance matrix Kv for V = [X, Y]T . Also, find…

A:

Q: |0, otherwise. pothesis Hi, has pdf 1, P;(y) = { 0sys1 [0, otherwise. Bayes rule and minimum Bayes…

A: **Answer:

Q: If y" – 2y + 6y = sin(3t), y (0) = 2, y (0) = 3 %3| then find Y (s) = L {y(t)}. O Y (s) =…

A:

Q: We have this situation: Ho: P1 - P2 = 0, Ha: Pi – P2 # 0 a = 0.10 %3D ni = 500 %3D n2 = 523 What…

A: The null and the alternate hypotheses indicates that it is case of test for a difference 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.