Build a Simulink model to solve an equation

see the file I upload Solve the following differential equation over a time period of 10 seconds: with k=2 and the initial condition of x(0)=3. a.Find and check the analytical solution. b.Build a Simulink model to solve this equation. Remember to: Integrating yields x(t) and can be written in terms of x(t). Click on the integrator to set initial conditions. Be sure to label each element of your Simulink model. c.Compare the results of the numerical solution in (b) with the analytical solution in (a). Hints: One way to do the comparison is by implementing the analytical solution in Simulink and superimposing the numerical and analytical solutions on a single graph. To do this create a signal by using the “Ramp” with a slope of 1. Label the output of the Ramp block “Time” and use it as an input to the appropriate Math Operations blocks. Alternatively you could save the “Scope” data “to Workspace” and analyze the data in Matlab. d.Examine the effect of step size in numerical integration. Note that the default solver for the integrator is a variable-step solver. This means that the integration time step is adjusted according to how fast the model is changing. There are both advantages and disadvantages to this method in terms of computation. Most of the time in this course we will use a fixed-step solver. You can change the type of solver used by selecting Model Settings under MODELING in your model window menu. Change Type to fixed-step. Change Solver to ode4(Runge-Kutta). Under “Solver details” change the “Fixed-step size (fundamental sample time)” from “auto” to the Fixed-Step Sizes of 0.01 0.1 and then 1. Observe how this affects your solution.

Requirements: just see the upload | .doc file

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