Solve Power Series using transcendental function y'''-3y''+3y'-y=ex
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y'''-3y''+3y'-y=ex
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Solved in 5 steps
- The power series in the image converges to cos x for ALL values of x. Using this fact and derivatives, find a power series that converges to sin x. ExplainFind the sum of the convergent series by using a well-known function. Identify the function and explain how you obtained the sum.use the Power Series Method to solve for the general solution. express your final answer in sigma notation y'=3(x^2) y
- What is the solution of intial value problem in series formExpress the function as the sum of a power series by first using partial fractions. Find the interval of convergence.Express the function as the sum of a power series by first using partial fractions. f(x) = x + 4 2x2 − 5x − 3 Find the interval of convergence. (Enter your answer using interval notation.)
- iv. will give thumbs up if correct! convergent OR divergent series calculusUse a graphing utility to determine the first term that is less than 0.0001 in each of the convergent series. Note that the answers are very different. Explain how this will affect the rate at which the series converges.Use Power Series to solve please