inflow and outflow resivor initally Vo=500m3 Qin=200m3 Qout=195m3 e=0.05% Cin=0.01% set up a differntial equation of the polutant and find time taken using the paramaters

Q: Gun barrel. Solve y" + y = 1 – 12/n2 if 0 s IST and 0 if t; here, y(0) = 0, y'(0) = 0. This models…

A:

Q: Separnble difftvenhal Equation Find the gneral olutions o! the tolmang Lbresse the 9neral solutions…

A: Given that: xdydx=y-1y+1-y

Q: TOPIC:EXACTD.E., LINEARD.E., INTEGRATINGFACTORS FOUND BY INSPECTION Obtain the general solution.…

A:

Q: Shooting method is a technique of converting the second order ODE with boundary value problem (BVP)…

A: Shooting method is a technique for solving a boundary value problem (BVP) by converting it to an…

Q: Considerthe difere ntial equotions 2. 10) Show that x° and Yo are linearly Independent Salutions Df…

A: Given differential equation is  x2y''+xy'-4y=0 we have to find the general solution.

Q: SOLUE USING LAPLACE TRANSTORMS y" - coy" + By' - 2car St i y(o) = -1, Y'(0) = 2

A: Given y'''-6y''+8y'=2cos5t, y0=-1, y'0=2

Q: 4) y'= - 2-y+y One solution of gien di7 equ. s yy=2. Determine type and find general Jolution.

A: Since dydx=-2-y+y2 Separate y variables towards dy , then dyy2-y-2=dxdyy-2y+1=dx Use Partial…

Q: АСTIVITY 3 Direction: solve and analyze each of the following problem tn neat and orderlu men…

A:

Q: Topic: Incentives ( Proof of integration formula for hyperbolic secant and hyperbolic cosecant)…

A:

Q: Incompressible Navier-Stokes Kovasznay flow Taylor-Green vortex Impulsively accelarated flat plate…

A: The PDE is stagnation point flow. In fluid dynamics stagnation point flow represents the flow of the…

Q: chree linearly independent solutions are given. Find a particular solution y(x) satisfying the…

A:

Q: a) y₂ = Asin(t) + Bcos(t) c) y₂ = Asin(2t) + Bcos(2t) b) yp= Atsin(t) + Btc Ур d)y= Atsin(2t) + Be 1…

A: To find- ∫0∞e-st dt Here , we will use the integration formula- ∫eaxdx=eaxa

Q: ty'' +(2t - 1)y' - 2y = 5t² e -2t. A general solution is y(t) = Y₁ = 2t - 1, Y₂=e-2t

A:

Q: 28. Particie motion A particle P(x, y) is moving in the co- ordinate plane in such a way that dx/dt…

A: Pythagoras theorem states the square of hypotenuse  is equal to sum of square of other two sides.…

Q: Find the general solution of the given aifferential equation. Give the largest interval Iover which…

A:

Q: OPlaying X EEVERE X E EVERE X OFor Slu x S HOND X a deltamath.com/app/student/soe/1464331 Pro South…

A:

Q: A​ third-order homogeneous linear equation and three linearly independent solutions are given below.…

A: Given is a third ordered Homogeneous linear differential equation: y"' + 2y" - y' - 2y = 0 with…

Q: S + t y S- t Z = s² + t? ノ ノ O S S s 1 and idemliyy the @ urite an equation in lonameherie furface .…

A:

Q: 5. f (t) sinh 3t + cosh 3t – 2t3

A: This is a problem Laplace Transform.

Q: A population obeys the discrete logistics equation: N+1 = Ro •N; - bN? Find the fixed points of the…

A:

Q: Y Des ign the network represents the following activitres and then finds the critical Path? activity…

A:

Q: Which pair of functions below can be a fundamental set of solutions for a second order homogeneous…

A:

Q: Assgnment: Solve the following multivariable equations for the Vaniabe D cos lx)e! + sin (We'…

A:

Q: 1) у' +—у y = x/y

A:

Q: Ar bitrary x' - 3x*y = 0 Eliminate the a) parameter m to be eliminated y= mx t jh ir a y= (,ecos 3x…

A:

Q: The article “Some Parameters of the Population Biology of Spotted Flounder (Ciutharuslinguatula…

A: Regression analysis: Regression analysis estimates the relationship among variables. That is, it…

Q: Cin cos find the crea Of en eirele g+2=82 Sen cos fund the write a triple iterated mtgral for crea…

A:

Q: :: 4.9 Show What You Know: Special Right Triangles period 3 period 4 J Conditional Statem. Match the…

A:

Q: ind and classify the equilibria for y'= (y- 1)(y – 2)y. The initial

A:

Q: onsider the initial value problem (r + 1)y" – y" – (x + 1)y' + y = 0 y(0) = 2, y(0)' = 1, y(0)" = 1…

A:

Q: (x² + y²)dx – xydy = 0

A: Givenx2+y2dx−xydy=0

Q: Dr. James is leaving London for a much needed winter vacation! Unfortunately, his car has been…

A: The velocity  is given by function ,vt=8t2 and the time taken is given as 3 hours. To find : The…

Q: A researcher designs an experiment using two drugs, she prepares 15 independent flasks of yeast…

A: The Kruskal-Wallis one-way ANOVA is a non-parametric method for comparing k independent samples. It…

Q: dv/dt= (1/epsilon) * (-v-w+H(v-a)) dw/dt = v-cw H(v-a) is a Heaviside function C= 0.15 Find and draw…

A:

Q: [6] Given p 0, 0 = 0.5, u = x, Solve for velocity v %3D du ap %3D | ax ay ax Solve for relocity u

A:

Q: Page Break Solve numerically the Laplace's equation 2. Тop BС b Bottom BC 臺+- 2 Əx 2 ду' for the…

A:

Q: A detector measures a positron moving through an electromagnetic field along a path given by V(x +…

A: Step:-1 Given that   distance  r=x+32 +y+12 subject to  y-2x=0 Take  gx, y=y-2x Let L=r -λ gx, y…

Q: 5y" – 2y' + 24y: 0,y (0) 3D 1, у'(0) 3 0 ,у" (0) %3D

A:

Q: #35 please

A: Observed from the given graph, that y (–1) = 0 and y (0) = –4.

Q: Answer these as T/F. a) the Langrange Multipers method works because the intersections of the level…

A: Both the statements (a) and (b) are true. (a) The Langrange Multipers method works because the…

Q: A nonhomogeneous equation and a particular solution are given. Find a general solution for the…

A:

Q: The linear equation below shows the mass spring damper system of a car. Given x is a displacement…

A:

Q: Can you please solve this problem and show all of the steps and say the correct letter

A: We plug x= sin(t) in the expression of y So we have eliminated the parameter.

Q: Find the lasgest interval guarateed bs the Existence and Uniqueness Theorem for the solution to the…

A: For a linear differential equation y'+P(t)y=Q(t) a unique solution exists in an interval (a, b) if…

Q: Linear Differential Equations of Order 1 (1+ cos t) ds = sint (sint + sintcost – s) Treost = S sin?t…

A:

Q: particular solletion e 18e se +tuish =ht, h-

A: We will find out the required solution.

Q: (6) For what value funetron ux). 1+22 88 a soluton of ntegral equation. the a solution A, eu (t) dt

A: We have to use integration by parts.

Q: Optimum Control Problem using Hamiltonian 2. min J= (y2 + uj – U1Uz)dt • s. t. y's У1 3 и, У1 (0) —…

A: We will first construct the Hamiltonian/Lagrangian then use the Euler-Lagrange equation to solve the…

Q: - (2² – 1) + 2y = (x+1)° dz

A:

Q: A force (6i + 8j) N sets a particle of mass 2kg in motion. The acceleration of the particle is: (AJ…

A: Given force is (6i+8j) N