- The Voltage V In An Electrical Circuit Varies With Time T According To The Following Differential Equation You Are Requ 1 (36.51 KiB) Viewed 36 times
The voltage v in an electrical circuit varies with time t according to the following differential equation. You are requ
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The voltage v in an electrical circuit varies with time t according to the following differential equation. You are requ
The voltage v in an electrical circuit varies with time t according to the following differential 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 transtorm of the solution Give your answer as a function of the transform variable $ 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)∗eN((3/4)∗t)+(2/3)∗eN(−4∗t) (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 accepts numbers or formulas. Plot I Help I Switch to Equation Editor I Proview
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