4 Use the Frobenius method to solve: xy-y=0. Find index and recurrence relation. Compute the first 5 terms (a¸ -a)using the recurrence relation for each solution and index r
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- Find at least the first four nonzero terms in a power series expansion about x = 0 for a general solution to the given differential equation. y'' +(x+6)y'+y=0 y(x) = ☐ + ... (Type an expression in terms of a and a₁ that includes all terms up to order 3.)Find the derivative of the function f by using the rules of differentiation. 7 f(x) = -X417 4 f'(x) =Calculate: In(n) In(1 +r) where n=2, r=0.137, and In is the natural log function.
- Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. (Use S1, S2, and S3, respectively, for the vectors in the set.) (0, 0) = S={(5, 2), (-1, 1), (4, 0)) Express the vector s₁ in the set as a linear combination of the vectors $2 and $3. 51= Need Help? Read It Watch It Submit AnswerLet f(x) = 3x {your final answer just number} Find x such that f(x) = 243Consider the following data: x -7 -6 -5 -4 -3 P(X = x) 0.2 0.1 0.2 0.1 0.4 Step 1 of 5: Find the expected value E(X). Round your answer to one decimal place.