# Question-   LO4 Review model of engineering systems using ordinary differential equations. Task 4.0 4.10 Formulate the differential equation describing the current flowing in a series RC circuit connected to a supply E Volts through a switch.  Solution-          LO4 Review model of engineering systems using ordinary differential equations. Task 4.0 4.10Formulate the differential equation describing the current flowing in a seriesRC circuit connected toa supply E Volts through a switch. (a)Solve the equation for the current flowing assume that the. charge on the capacitor = 0 when t=0. (b)Evaluate the current flowing in the circuit when E= 20V, C= 20uF, R = 50kQ andt = 1.0 4.20 An X-ray machine is tested by an electrician to find out whether the device emits. x-rays at the required quantity and specification. Thee emitted rays are in the form of a differential equation given by 2 St e6Betsy=0. Solve the differential equation given that when x = 0, y = 3

4.21An LCR series circutt is is sonst â€˜0 a dc source.Jf oO mathematical models describing the current flowing in the Greut-Assume zero initial conditions when the switch is closed. 4.30 Use Laplace transforms to solve 4.20 & 4.21. 44 Set up the mathematical models for the first and second order systems and show how these modelscan be applied to circuits in Fig 1.0 and Fig 2.0 and critically evaluate the solutions.

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