1. Mr. Tejas has a total investment of Rs 10,000 in 3 bank accounts, one paying 5% interest. another paying 8% interest, and the third paying 9% interest. The annual interest earned on the three investments last year was Rs 770. The investment at 9% was double the investment at 5%. How much was invested at each rate? [Use Gaussian Elimination Method]

Q: Example 10.16. Using Runge-Kutta method of fourth order, solve y(0) = 1 at x = 0.2, 0.4. y² + x²…

A:

Q: 5. Solve the diffusion equation = v dt drr dr

A: ∂θ∂t=v∂2θ∂r2+1r∂θ∂r such that- r=0, θ is finite, t>0r=a, θ=0,         t>0 and θ=P4μa2-r2

Q: 4 3. Apply Euler-Maruyama method as one step to solve the SDE dy = 3/dt+dB₁ 5-1 y(1) = 2

A: Given that the SDE is dy=3-y5-tdt+dBty1=2

Q: 1. Solve Cauchy-Euler equation. r²y" – ry' + y = 2x

A:

Q: Suppose a population of P(t) satisfies dp/dt = 0.4P -0.001P 2 P(0) = 50 A. What is the carrying…

A:

Q: How might the competitive-hunter model be validated? Include adiscussion of how the various…

A:

Q: Solve the initial value problem V+ Izy – 4y = 0, y(0) – 8, 3/(0) – 0.

A: Initial value problem; y''+xy'-4y=0 ; y0=8, y'0=0 To find solution y of this problem.

Q: Find the exact solution to the initial value problem.

A:

Q: Solve the given initial-value problem.

A: Given,            X'=1201-12X,  X(0)=49

Q: Solve the initial value problem. = 3 - e 2t, y(1) = - 4, y'(1) = 4 dt?

A:

Q: Tank # 1 initially holds 50 gals of brine with a concentration of 1 lb/gal, while Tank # 2 initially…

A: Given: Initially for Tank 1:Quantity of brine held by tank 1 = 50 galsThat is, volume = 50…

Q: Two very large tanks A and B are each partially filled with 100 gallons of brine. Initially, 100…

A:

Q: Solve the following initial value problems.

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 1. A tank contains 50 gallons of a solution composed of 90% water and 10% alcohol. A second solution…

A:

Q: A tank contains 60 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A: A tank contains 60 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

Q: Question Which of the systems shown b could be used to get a şoluti to the de fferential equation "…

A: Given DE y'''-2y''+6y'-8y = 0 since the given DE is a third order DE, to get the solution we have to…

Q: 'y-1 ++ Beson Muss 1- +

A:

Q: The average number of customers in the system in the single-channel, single-phase model described in…

A: GivenThe average number of customers in the system in the single-channel, single-phase model is The…

Q: The management of hartman rent a car has allocated $1.5 million to buy a new fleet of automobiles…

A: Let f is number of full , c is number of compact, i is number of intermediate size cars Total cars…

Q: It is linear algebra. Please see the attachment

A: Consider the given differential equation:

Q: 1. Generalize the Euler equation method to find the general solution to t°a" + 2tx' – 12x = 13t° In…

A:

Q: Three large tanks contain brine, as shown in Figure 3.3.7. Use the information in the figure to…

A: Given To construct a mathematical model for the number of pounds of salt x1t,x2t,x3t at time t in…

Q: 11)Use newton method to find the 1st iteration of the following system x = 3x2 - y3 y = 2y2 – 2x…

A: This is a non linear systems of equations. We solve this by using Newton Raphson Method. For this we…

Q: 11. A tank initially contains 100 L of brine with 25 N of dissolved salt. Fresh water and brine…

A: as given initial concentration of tank is 100 L of brine with 25 N of dissolved salt. fresh water…

Q: Solve the initial-value problem: а) у" — Зу' + 2у %3D 2е3t : у(0) %3D 1, у' (0) %3 —1

A: Since you have asked more than one question, we will solve first question for you. If you want other…

Q: Consider the cascade of two tanks shown in Fig. 1.5.5, with V1 = 100 (gal) and V2 = 200 (gal) the…

A: We need to solve this question in two parts before getting to the part you have asked. So, let's say…

Q: Solve the following system of nonlinear equations using Newton's method: cos 3a1 + cos 3a2 1- cos…

A: The given problem is to find the approximate root of the given non linear equations using the…

Q: Provide the exact solution of the initial value problemx''  = -x; x(0) = 0,  x'(0) = 1

A:

Q: Suppose there are two tanks, each containing 20 L of fluid. Tank 1 initially contains water with 4kg…

A: The given system is as follows: Here, pure water is pumped in to each of the tanks. Suppose after…

Q: Find the solution of the initial value problem

A:

Q: For an auditorium: Room condition: 26oC DPT, 19 oC WPT; Outside conditions: 35 oC DPT 27 oC WPT;…

A:

Q: Two tanks are connected as in the figure below. Tank 1 initially contains 20 pounds of salt…

A:

Q: Consider the following initial value problem.

A: Given the initial problem                        y''+5y'+6y=0, y(0)=2, y'(0)=β, where β>0

Q: A tank contains 60 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A: Given ,  A tank contains 60 gallons of a solution composed of 85% water and 15% alcohol. A second…

Q: Solve the initial-value problem -2 x' = -1 х, 1 -2 x(0) 3

A: Given information: x' =-201-2x  and x0=-13 Calculate the initial value.

Q: SEA 2-Eva luate Edr where Fiy xi)デa C-メ (1-x) } cis por tion of , -1 fn fourth quadrent.

A: We will use Green's Theorem to evaluate the given line integral

Q: 4. Solve the IVP: d's t3, s(0) = 3,s'(0) = -8 dt2

A: 4 Given IVP is d2sdt2=t3, s0=3 and s'0=−8 Write the auxiliary equation which is given below m2=0…

Q: Find the solution of (1 + e²)yy = eª that passes through (0, 1).

A: (1+ex)yy'=ex(1+ex)ydydx=exseparation of variablesydy=ex1+exdxIntegrating both…

Q: 4. A tank initially holds 80 gal of a brine solution containing 1/8 Ib of salt per gallon. At t = 0,…

A:

Q: Consider the initial value problem

A: Given, The initial value problem with initial condition Has the unique solution

Q: Solve the initial value problem Using undetermined coefficients method. y tayot y co) 20

A: Given- y'+2y=t , y0=0 To solve the given initial value problem using undetermined coefficients…

Q: Solve the initial value problem by the linear or separable method

A:

Q: Some initial value problems do not have unique solutions صواب ihi

A: Yes statement is true: y(t)=0 for t∈[0,1] and y(t)=(t−1)^2 for t≥1.

Q: (b) Solve the initial value problem z(0) - () |ã, #(0) =

A: firstly we find eigenvalues and then find corresponding eigen vectors and after that find general…

Q: Ball is thrown Vertically into the air at 120 m/s ,after 3 secanother ball is thrown.what initial…

A: Height of the first ball   S1t = -4.9t2+120t —1Height of the second ball  S2t = -4.9t-32+vt-3 —2v=…

Q: Chapter 2, Section 2.2, Additional Question 01 Solve the given differential equation. 72 - 1 y 7+ 5y…

A:

Q: linear algebra

A: Find the eigenvalue of the given system as follows.

Q: Solve the following Initial Value Problem (PVI) of the Bernoulli equation and answer the questions…

A: Concept Used: A first order differential equation is said to be linear differential equation if it…

Q: Consider two interconnected tanks as shown below. Tank 1 initially contains 600 gal of water with 3…

A: !st we will find volume of solution in both tank to find concentration of salt after t minutes and…