Find nalytical salution to Pnti = (r+)+m possible. an Simplity as much as

Q: Given that y=e is a solulion to y" + 4y'- ky = 0 . What is the value of k?

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Q: evaluate using the appropriate method or combination of methods.

A: Let,

Q: The spread of a virus is modeled by V(t) = -t° +t² + 12t, where V(t) is the number of people (in…

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Q: Find the following antiderivative. ey dy (ev - 3) Answer:

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Q: Apply Uptimal obtain y, y₂₁ and y for the pr 3

A: given y'=t+2y h=0.1 and y0=1 to find the y1,y2,y3 proceed as follows Apply Runga Kutta 2 order…

Q: Let X; = tB¡ B,ds. | Is (X,)r20 a F - martingale?

A: Consider the given process:        Xt=tBt-∫0tBsds

Q: (r+6)dr 4. S (z+2)?

A: Given: = The indefinite integral is, ∫(x+6)(x+2)2dx To find: -The complete solution of the given…

Q: Evaluate S dz over C, where C: |2+1| =1 O i pi

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Q: die ktvaate et:rlrs erziv. 2l y=a* + &r-- 5+e" Kl) =

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Q: Use the trapezoidal rule to find AT using the indicated value of n. 8 dx; n = 8 2x2 +2

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Q: of the hghset of cheryt the t y temthe 2M percetaof the tres aea dy tn than ees hae ate your

A: Given that  The histogram data of heights of cherry trees. We write the given data in frequency…

Q: find the vilue c for by filards method, given that dy

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Q: The DE : y' = e5x-7y is seperable Select one: True False

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Q: Solve the difterentiol equatten by method of Uudetermined colefficients 27 ty't 4y= S -e'te

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Q: 1. Using Linear Approximation, determine the approximate value of the folle Final answers must be…

A: Topic:- function  Note :- as per our guideline if more than one question uploaded than only first…

Q: Evaluate the bound of the error if the Trapezoidal rule applied to S (x)dx . Given that 5 k is…

A: Apply formula of trapezoidal error

Q: Use the modified Euler method of Lecture 3, with n 10, to find xt1 = -t, (0) = 0

A: Consider the given differential equation.

Q: p = m(1-dt) for d (buisness)

A: In this question , we can solve for 'd'.

Q: Q.5 Use both trapezoidal and Simpson's Rule to evaluate |(² +1)° dxby taking n=4.

A: We have to find integral of given function by using Trapezoidal Rule and Simpson's Rule.

Q: cancer u alcurate 5th on diagnostic test is 9s 2 those who halse A 'cancer cnd on those wno do not

A: Given that, As the test is 95% accurate for both who have cancer and who don’t, therefore the…

Q: *Pivd the general Seltion to the

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Q: Find the following antiderivatives. 49 – 2y dy 49 +1 (a)

A: Introduction: Evaluation of anti derivative is the main aim of indefinite integral. An anti…

Q: The value of c of fo-2- in the iterval .D such that rio--E) OA 3 OB. -3 OC 3 O0. 3-

A: c = 3explanation is given in below step

Q: Solve the diffgerential Eauation by Separating the Vaciables ex dy 2x %3D

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Q: (14) Approximate S, x² ex², Using Simpson's rule dp,

A: Simpson's rule is a numerical method used to approximate the definite integral which represents the…

Q: Find k so that dx = ke" + C.

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Q: Find in side r=2 aren oul sde r=l+ Ges 6

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Q: Diayonalie he metux Ao and hence find At

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Q: (a) Check Y (t) for stationarity (b) Check Y (t) for ergodicity.

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Q: The approximation of xln(x + 1) dx using two points Gaussian quadrature formula is: 1.39785 2.27157…

A: Given integral is ∫12xlnx+1dx. Let I=∫12xlnx+1dx Here, fx=xlnx+1 We have to approximate ∫12xlnx+1dx…

Q: Evaluate plti 5. S z² dz using the formula [2² dz = A 3

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

Q: Find the following antiderivative. far 5z + 7dx

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Q: If the substitution u= J2x+| iS used, then Só V2x+ī dx is equivalent to ?

A: Substitution will be done by the given variable

Q: Select the best option based on the information below. W. MP, = TRS w2 Lat(x, ,x;). MP, %3D Select…

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Q: ydy 4. S (1 + 3²) ² 4

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Q: Ques tion 1 : that Given 2 x?y" + x y' + 3y= 0 show 2x* ylara) lanni)x ylurs) + (2n2.n +3) ym)-

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Q: 4 In GL(2,Z13), det 1 4

A: We have to find the determinant using GL(2,Z13) That is, instead of usual addition and…

Q: (1) If Euler's method is used to approximate y(t), the local truncation error, Ti+1 is defined as…

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Q: ne exact length of tne X = Vy (y – 3), 4sys9

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Q: Solve the following Bernoulli DE's. *+ x*y = x®y? a) b) y' - = y %3D

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Q: 2ť coslatray) 5t"Sim latr34) +Sing-e 4 限-0

A: Let us consider the differential equation of the form Mdx+Ndy=0 Firstly check the equation is exact…

Q: 2. We want to evaluate e¹/x dx using the composite trapezoidal rule with three decimal precision,…

A: Introduction: In numerical approximation, there is always an error between the approximate value and…

Q: Evaluate xy dS. S: z = 3 – x – y, first octant

A: Given query is to find the double integral in first octane.

Q: Use the TRAPEZOIDAL with 3 level Romberg (k = 3) to evaluate: e* sin x , 1+x²

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Q: Use the False Position method to find an approximation to the value of v7 that is accurate up to…

A: False position method formula x2=x0-f(x0)⋅ x1-x0 f(x1)-f(x0)

Q: di V = -L dt

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Q: d) By multiple application of Simpson's 3/8 rule, use step size as 0.02. e) Discuss on your results.

A: Given that, the function is fx=x2+0.4x-0.081+x3. a) The value of the integral by using the…