Wse the genoral solution of the dfferentrol eguctron gives below to use the poranmeter Exchange Metbed, find it use. yo + Luy'+ uys (6x-2) e X

Q: Determine the time required for the bacteria concentration to be reduced to 5 using Newton's method.…

A: Concept: Newton method: Let a differentiable function be of f:R→R . We seek a solution off(x)=0,…

Q: You are designing a spherical tank to hold water for a small village. The volume of liquid it can…

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Q: (3) Solue the Initial Value Probles -that SatieSFies the Compleme equation (+) yM -2(x+ Dy! 13 ! %3D…

A: We are given a nonlinear non-homogeneous second order ordinary differential equation, which we have…

Q: Find the vebcity of scepe of the spollo spaceship os it is projected from the earth surfece, thet'is…

A: Please check step 2 for the solution.

Q: w = - 6 sec²(3x) – V8 )dx. Evaluate W W 5 3 6x+9

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Q: (2) y" +y' + = (2t-a)simt Solve each of fhe felloving imitral valne problina : %3D

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Q: 6) The insulation resistance of the cable with length F in ohm and a radial thickness (r2 -r1) is…

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Q: A given spring requires 34 newtons of force to be stretched 1.5 meters. Use this information to…

A: Consider a spring of spring constant k. Here, the objective is to find: A) The value of spring…

Q: Hiw Solve y=Jx+y' for X=oco.2) 2 by given Xo=0,9o=0· Rung Kutta methood Por 0.0.E (first ordey)

A: Runga Kutta First order method is also known as Euler's Method.

Q: S(t)=t°-3tー+5 find accelercstuon of the purticle at t=1.

A: Here s(t)=t6-3t2+5 We have to find the acceleration at t=1.

Q: is maving with Ithe given the particle. data. Find the positionof a/t) =3 cost-2 sint is(0)o and…

A: Given: a(t) = 3cost -2sint , s(0) =0, v(0)=4 We know that a(t) = ddtv(t) ⇒vt = ∫a(t) dt

Q: use Euler’s method with the specified step size toestimate the value of the solution at the given…

A: We have to use the Euler's Method to estimate the value of the solution at the given point x*=1.…

Q: Find the explicit formula for the below IVP. Does the solution exist for all of t? If not, what is…

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Q: Frad the genenal Solution the dipferential OA equation gruen below dy=0 could you solue if by…

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Q: Bonus Home merk 2 Solve the following a Riccatí equation: including dy ーy+xy + dx ylo) =1 %3D where…

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Q: sy using Euler's Method, approximate y (1.6), f = 2x ,y(1.05) = 1.1 and the step ize (h = 0.05). %3D

A: According to Euler's method, the formula for iteration is: Here, h is the step size and f(x,y) is…

Q: 3

A: The forces act on the object are,

Q: The dye dilution method is used to measure cardlac output with 6 mg of dye, using the following…

A: givenc(t)=13t(11-t)let I=∫011(concentration of…

Q: Skydivers A and B are in a helicopter at 6400 ft above ground. Skydiver A jumps and descends for 4…

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Q: Solve Hhe following by Separcting initial vallue 2006lems g the Variables 1 %3D %3D dx

A: Variable separable differential equation

Q: Q1: The tank shown in the figure below is filled initially with water: a- Find the depth of water at…

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Q: Determine the exporentia urcer wth vale e: reressing aa rate of 5% per year. y-5e2 y-Se y-5(1.05) O…

A: Given

Q: Q1) A Cylinder tank of radius 4m and height 10m is initially filled with water. At the bottom of the…

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Q: We have four Cooldinates of the of Vakg ying at equial the masses the distance with from kinetic 2m.…

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Q: The work done 'W' by a gas on a piston is given by P2 W = CP dp Where 'P' is pressure and 'C' is…

A: Given : Work done W = ∫p1p2 CP-1ndp Where P is pressure and C is constant.   To find : Show that…

Q: a²u ax for the condition of heat along a rod of length ? subject to du Solve the equation at…

A: Given the heat equation as                                        ∂u∂t = c2 ∂2u∂x2∂u∂x(0,t) =…

Q: C. A simply supported beam has the bending moment, M given by M = 15x – 29 (x - 0.5)? %3D 4 where x…

A: We can find the value of 'x' for M=0 as below

Q: A tank of watero À suluton cuntaning of the chermical fluws nto the fa a rate of 3L/0ın, ard the…

A: Given: Tank initially contains = 20L A solution containing 1 g/L of a chemical flows into the tank…

Q: Newton-Raphson method.

A: Given: The volume and diameter of the liquid in the tank shown in the figure. And the liquid height…

Q: b) If L = 2CSinh H. 2C Find the value of the Inductance (L) when Ha constant = 63 and C the…

A: We can calculate the L value as below

Q: ... The bowl of Glass 2 has a cylindrical top and a hemispherical base The bowl of Glass 3 goes down…

A: Topic- volume

Q: particle moves along nd s(t) is measured in (a) Find a formula fo

A: The position of the particle is st=50t2-10t+30. where t is in seconds. a The velocity of the…

Q: Use variation of parameters to find a particular solution, given the solutions y1, Y2 of the…

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Q: EA Solve the D.E. by Laplace Thans Ferm + 2y = 12 e given ycazo %3D

A: first we apply laplasa Transform both side then we solve

Q: FIPD TAF Q TRICOVOMETRI C FUUCTION s of THE XHGLE X ĭ B O a- VZ

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Q: The uniform beam has a mass of 52 kg per meter of length. Determine the reactions at the supports. A…

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Q: A spring has natural length 25 cm. Compare the work W, done in stretching the spring from 25 cm to…

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Q: 2 In the figure (not drawn to scale), MO bisects ZLMN, m LLMO = (13x – 31)°, and m LNMO=(x+53)°.…

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Q: Question I dy y - g", yw . -4 ky, ycu = %3D de

A: Given differential equation y'-y/x=xy^-1 , y(1)=-4 We will evaluate this as shown below

Q: II ACTIVITY # 8: esinx dx use N=5 SOLVE USING TRAPEZOIDAL AND SIMPSON'S RULE

A: For trapezoidal rule  h = b-anh = π-05h = π5 x 0 π5 2π5 3π5 4π5 π esin x esin 0 = 1 esinπ5 ≅…

Q: consider a spring-mass system driven by an external force governed by : 2u'' + 3u'+4u=cos(wt)…

A: Given, a spring-mass system driven by an externod force governed by…

Q: A spring has natural length 22 cm. Compare the work W, done in stretching the spring from 22 cm to…

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Q: (y - x + xy cot x) dx + xdy = 0

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Q: Find the solution of: y" +y = 2e' ,y(0) = 0, y'(0) = 0 Select one: a. y = e' b. y = 2sint - cost +…

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Q: 2EValuatethe Valee ofthe Inextintegration byusing the t rapezoidat vule zhen find the absotute…

A: Given that, ∫03π20sin5x+1dx with n=4

Q: olve the following Initial Value Problem: y" + y-6y 0, y(0) = 2 y (0) = -1. and %3D %3D %3D

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Q: A cylindrical pool that has a 3.3 meter radius and is 1.8 meter deep.…

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Q: Find the outside surface area. Note that the cylinder does not have a top. (Assume a = 4 cm and b =…

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