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In a series circuit, a capacitor C is being charged through a resistor R using a cell of emf E as in the diagram below. key R If the current flowing i = dq/dt and potential across the resistor ER = iR and potential across the capacitor Ec = q/C %3D a). i. Derive the differential equation for the circuit ii. and determine the solution to the differential equation derived

In a series circuit, a capacitor C is being charged through a resistor R using a cell of emf E as in the diagram below. key R If the current flowing i = dq/dt and potential across the resistor ER = iR and potential across the capacitor Ec = q/C %3D a). i. Derive the differential equation for the circuit ii. and determine the solution to the differential equation derived

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QU6 In a series circuit, a capacitor C is being charged through a resistor R using a cell of emf E as in the diagram below. E key If the current flowing i = dq/dt and potential across the resistor Er = iR and potential across the capacitor Ec = q/C a). i. Derive the differential equation for the circuit ii. and determine the solution to the differential equation derived b). i. Verify that y= 2e* + x – 1, solves y' = x- y ii. find the particular solution to the differential equation dy = tan y passes through (1, t/2), given that y dt sin-1(eC+t). c). Solve y" + y =0 , using power series
Transcribed Image Text:QU6 In a series circuit, a capacitor C is being charged through a resistor R using a cell of emf E as in the diagram below. E key If the current flowing i = dq/dt and potential across the resistor Er = iR and potential across the capacitor Ec = q/C a). i. Derive the differential equation for the circuit ii. and determine the solution to the differential equation derived b). i. Verify that y= 2e* + x – 1, solves y' = x- y ii. find the particular solution to the differential equation dy = tan y passes through (1, t/2), given that y dt sin-1(eC+t). c). Solve y" + y =0 , using power series
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