2. Model the dynamic behavior of this circuit (obtain differential equation) (7 Points) B mimo D...
7. Consider the differential equation (a) Show that z 0 is a regular singular point of the above differential equation (b) Let y(x) be a solution of the differential equation, where r R and the series converges for any E (-8,s), s > 0 Substitute the series solution y in to the differential equation and simplify the terms to obtain an expression of the form 1-1 where f(r) is a polynomial of degree 2. (c) Determine the values of r....
b. In order to write the differential equation that governs the behavior represented by the Maxwell model, i. What parameter is considered constant, the stress or the strain? i. What assumption is made to get the differential equation that describes this model? (Think about which parameter is added, stress or the strain) Write the differential equation corresponding to the Maxwell model and identify the term corresponding to the spring and to the dashpot. Write the equation for the stress predicted...
Problem 24: (18 points) 1. (6 points) Figure 2 shows an RC circuit with input f(t) and output y(t) Function Generator R, v, (r) y1) Figure 2: RC circuit. (a) (1 point) Sketch the circuit in the phasor domain by replacing the capacitor with its impedance represen- (b) (3 points) Using circuit analysis techniques, show that the frequency response function is Specify the DC gain, K, and the time constant, T, in terms of the parameters R, R, and C...
Add 7-2 By the node method, obtain a model for the circuit in Problem 6.16 of the textbook. Figure P6.16 13 21 172
Add 7-2 By the node method, obtain a model for the circuit in Problem 6.16 of the textbook.
Figure P6.16 13 21 172
Assume a dynamic
system is described by the following ordinary differential equation
(ODE)
1. Assume a dynamic system is described by the following ordinary differential equation (ODE): y(4) + 9y(3) + 30ij + 429 + 20y F(t) = where y = (r' y /dt'.. (a) (10 %) Let F(t) = 1 for t 0, please solve the ODE analytically. (b) (10 %) Please give a brief comment to the evolution of the system. (c) (5 %) Please give a brief...
2. Coupled Differential Equations (40 points) The well-known van der Pol oscillator is the second-order nonlinear differential equation shown below: + au dt 0. di The solution of this equation exhibits stable oscillatory behavior. Van der Pol realized the parallel between the oscillations generated by this equation and certain biological rhythms, such as the heartbeat, and proposed this as a model of an oscillatory cardiac pacemaker. Solve the van der Pol equation using Second-order Runge Kutta Heun's method with the...
What is the solution for this first order nonlinear differential equation of this SIR model with these initial conditions? S(t)=not infected individuals (1) l(t)- Currently Infected (588) R(t)- recovered individuals (0) This will be a nonlinear first order differential equation(ODE) dasi d/dt-sal-kt di/dt a (s-k/a) i dr/dt-ki Total population will be modeled by this equation consistent with the SlR model. d(S+l+R)/dt= -saltsal-kltkl-0 Solution: i stk/aln stK Model the topic using a differential equation. a) Draw any visuals (diagrams) that exemplify...
Please show Matlab code and Simulink screenshots
2. Differential Equation (5 points) Using (i) Euler's method and (ii) modified Euler's method, both with step size h-0.01, to construct an approximate solution from t-0 to t-2 for xt 2 , 42 with initial condition x(0)-1. Compare both results by plotting them in the same figure. 3. Simulink (5 points) Solve the above differential equation using simplink. Present the model and result.
2. Differential Equation (5 points) Using (i) Euler's method and...
The area of the stirred tank heater is 0.1m^2 and the dynamic model of it are q0+q1-q=ρA*d(h)/d(t) q0T0+q1T1-qT= ρA*d(hT)/d(t) and the values are q=c*h^(1/2), ρ=1000kg/m^3, c=10kg/s*m^(-1), T0s= 20°C, T1s= 70°C, q0s= 7kg/s, q1s= 3kg/s If T'=T-Ts, H=h-hs, Qi= qi-qis, and so on, find dT'/dt for the step change of q1.
Using MATLAB_R2017a, solve #3 using the differential equation in
question #2 using Simulink, present the model and result.
2. Differential Equation (5 points) Using (i) Euler's method and (ii) modified Euler's method, both with step size h-0.01, to construct an approximate solution from F0 to F2 for xt 2, 42 with initial condition x(0)=1. Compare both results by plotting them in the same figure. 3. Simulink (5 points) Solve the above differential equation using simplink. Present the model and result....