The Voltage V In An Electrical Circuit Varies With Time T According To The Following Differontial Equation You Are Requ 1 (37.17 KiB) Viewed 40 times
The Voltage V In An Electrical Circuit Varies With Time T According To The Following Differontial Equation You Are Requ 2 (37.17 KiB) Viewed 40 times
The voltage v in an electrical circuit varies with time t according to the following differontial equation. You are required to solve this differential equation by the LAPLACE TRANSFORM method. dtdv+10v=5e2t v(0)=6 (a) Take the Laplace transform of the differential equation and solve the resulting equation for V, the Laplace transform of the solution Give your answer as a function of the transform variable s only. Leave out the " V=" (5 marks) This question accepts numbers or formulas. Plot I Help I Switch to Equation Editor I Preview (b) Find the solution to the differential equation Give your answer as a function of t Leave out the " v= "". Leave any numbers, which are not whole numbers, as FRACTIONS e.g. (5/7)∘e∧((3/4))∗t)+(2/3)∗eN(−4∗1) (10 marks). This question accepts numbers or formulas. Plot I Help I Switch to Equation Editor I Preview (c) What is the value of v(1.2) ? Give your answer to AT LEAST THREE PLACES OF DECIMALS. (1 mark) This question aocepts numbers or formulas. Plot I Help 1 Swith to Equation Editor 1 Preview
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