H.w 2: The open loop response, that is, the speed of the motor to a voltage input of 20V, assuming a system without damping is dw +(0.06)w. dt 20 = (0.02) If the initial speed is zero (w(0)= 0) ,and using the Runge-Kutta 4th order method, what is the speed at %3D t=0.8s? Assume a step size of h 0.4s.

Q: Solve the initial value problem with x'(t) = A, for t20 with x(0)= Classify the nature of the origin…

A: Given matrix is A=-1-39-13 We find eigenvalues.…

Q: use e uler's methods with step size h=.1 to approx w(.2)  where y is the answer to the initial…

A:

Q: Use Euler’s method to integrate ??/?? = ? − ?^2 + 1 from t=0 to 0.2 with a step size of 0.05. The…

A:

Q: An investment grows according to the DE dy = ry + I(t), dt %3D where 100r is the nominal interest…

A:

Q: Solve the following initial value problem using a time step or step size of t = 0.05 sec, where y(0)…

A: Given IVP is dydt=yt2-2.1y2 y(0)=1 step size is h=0.05 Here f(t,y)=yt2-2.1y2

Q: A 5-kg mass is attached to a spring with a spring constant of k = 20 N/m. The mass is set in motior…

A: A 5-kg Mass is Attached To A Spring With A Spring Constant of K From The Equilibrium Position With…

Q: Use Euler's method with step size h = 0.2 to approximate the solution to the initial value problem…

A: Here the function is given as y’ = 3/x (y2 + y) with step size h = 0.2   Now, we have to solve…

Q: The open loop response, that is, the speed of the motor to a voltage input of 20V, assuming a system…

A:

Q: Consider the initial value problem below to answer to following. a) Find the approximations to…

A:

Q: For a 1 kilogram mass on a spring with spring constant k = 4 N/m and resistance of 4 times the…

A:

Q: The steady state temperature distribution on a thin metal is given by the Laplace equation dx2 ду?…

A:

Q: Let y = - ty + 0.ly and y(0) = 0.77. Use Euler's method to find approximate values of the solution…

A:

Q: This problem deals with a mass m, initially at rest at the origin, that receives an impulse p at…

A: Here we have given that a mass m, initially at rest at the origin, that receives an impulse p at…

Q: Consider the initial value problem my" + cy' + ky = F(t), y(0) = 0, y'(0) = 0 modeling the motion of…

A: Consider the initial value problem.

Q: Use the fourth-order Heun and Runge Kutta methods to approximate the solution to the problem dt = 2²…

A:

Q: Use Euler's method with step size h = 0.2 to approximate the solution to the initial value problem…

A: As given initial value problem is: dydx=3xy2+y: y5=1 Comparing with: dydx=fx,y: yx0=y0fx,y=3xy2+y…

Q: Match item in A with the correct item in B v Linearly Independent solutions A. W= Wo Fo B. W(y1. y2,…

A:

Q: (a) The speed of a motor supplied with a voltage input of 30V, assuming the system is without…

A: (a) The speed of a motor supplied with a voltage of 30V, assuming without damping, can be expressed…

Q: Solve the following initial value problem using a time step or step size of t = 0.05 sec, where y(0)…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find approximate values of the solution of the given initial value problem shown below at t = 0.1,…

A: Given that t1=0.1, t2=0.2, t3=0.3, t4=0.4, l1=0.1, l2=0.05, x0=0, y0=2 Now, y'=5t-3y Here,…

Q: HW12_1 Solve the following initial value problem to find y(2). dy = yt² - 1.1y, dt using midpoint…

A: given IVP  dy/dx = yx2 - 1.1y , y(0) =1 and h = 0.5  Midpoint method :-   y(2) = 1.36427

Q: An investment grows according to the DE dy = ry + I(t), dt where 100r is the nominal interest rate…

A:

Q: A 0.05m spring has a spring constant of 30 N/m. Calculate the work done in compressing it to 0.02 m.…

A: Given K=Spring constant=30 Nminitial length x1=0.05mfinal length x2=0.02mTo calculate: Total…

Q: Use Euler's Method to find approximate values of the solution of the given initial value problem at…

A:

Q: Consider the initial value problem y"+yy'+y=k&(t-1), y(0)=0, y'(O)=0, where k is the magnitude of an…

A: Consider the equation

Q: 01-1. Suppose that a spherical droplet of liquid evaporates at a rate that is proportional to its…

A: Euler method is used to find the solution of an initial valued first order differential equation.…

Q: Consider the initial value problem my" + cy' + ky = F(t), y(0) = 0, y'(0) = 0 modeling the motion of…

A: To solve the initial value problem.

Q: y' = y° cos.x+y°e", 0srs3, y(0)=1

A:

Q: Consider the initial value problem below to answer to following. a) Find the approximations to…

A: (a) It is given that, y't=6t+1 , y0=0 and the exact solution is yt=3t2+t. By using Euler's method,…

Q: Let y(t) be the exact solution of a given initial value problem (IVP) at a given t. The…

A:

Q: 3. [ 7Find the solution to the given initial value problem by expressing g(t) as unit step 0St36…

A:

Q: Consider the initial value problem below to answer to following. a) Find the approximations to…

A: we have,  y't=-3y, y0=1,yt=e-3t ⇒dydt=-3e-3t a h=0.2, t0=0,y0=1 Then, t1=t0+h=0+0.2=0.2…

Q: Consider the initial value problem my" + cy' + ky = F(t), y(0) = 0, y'(0) = 0 modeling the motion of…

A: Please be careful when typing

Q: 2. The table on the right gives the value of x(t 1) from numerical integration of the equation: Δt…

A:

Q: Let y' Use Euler's method to find approximate values of the solution of the given initial value…

A:

Q: 20= (0.02) + (1.06)x dt dx If the initial speed is zero w(0)=0; use the Runge-Kutta 4th order method…

A: Here we are going to find the speed at a particular time from the given first-order differential…

Q: The position x(t) of an object of mass m that is attached to a vertical spring with constant of…

A: The main objective is to solve the IVP by using higher order linear differential equations…

Q: Consider the initial value problem my" + cy' + ky = F(t), y(0) = 0, y'(0) = 0 modeling the motion of…

A:

Q: Find approximate values of the solution of the given initial value problem shown below at t = 0.1,…

A: Given, y'=2t+e-ty, y0=1, h=0.1, t=0.1, 0.2, 0.3, 0.4 By using, fourth order R-K method…

Q: Consider the initial value problem ˙ dy/dt= t + y, y(0) = 1. (a) Use Picard iteration to find the…

A: Given dydt=t+y, y0=1

Q: (a- Use Euler's method to integrate dy = y – t² +1 dt from t=0 to 0.2 with a step size of 0.05. The…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Consider the initial value problem my" + cy' + ky = F(t), y(0) = 0, y'(0) = 0 modeling the motion of…

A:

Q: H.w 2: The open loop response, that is, the speed of the motor to a voltage input of 20V, assuming a…

A:

Q: Given the initial value problem y' = cos(xy) – x²e2* with y(1.5) = 0 i. Estimate the value of y(1.6)…

A:

Q: Sdve the initial value problem using Convelution d'y d=ytg(t), ylo) =0 y'@)=1 ubere glt) is…

A:

Q: Suppose that a falling hailstone with density 8 = 1 starts from rest with negligible radius r = 0.…

A:

Q: se Euler's method with step size 0.5 to compute the approximate y-values Y1, Y2, Y3, and y4 of the…

A:

Q: Consider the initial value problem my" + cy' + ky = F(t), y(0) = 0, y'(0) = 0 modeling the motion of…

A: Given my''+cy'+ky=Ft, y0=0, y'0=0 and m=2 kg, c=8 Kg/s, k=80 N/m and Ft=20if 0≤t≤π20if t>π2

Q: C. Consider the IVP ý+0.25y = 3 + 2 cos 2t, y(0) = 0 1. Find the solution of this initial value…

A: