2. (LI-2) Consider the equation r2y" - xy + y = 0. It is given that y₁ = z is one solution to this equation. Use reduction of order to find a second solution 72 which is linearly independent from y₁.

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A: To find the Sylow 3-subgroup of S5.

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Q: 1. Calculate the iterated integral 42 [] {x²³y+ ¡¡ 10 (5x² y + 4x)dy dx

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Q: EXERCISES 1. Solve the following problems as indicated: b) a" = x. c) t²a" + 3tx' = + x = 0. d) tx"…

A: Given Data: 2.Let us consider the given equation is, x''+t2x'=0 , x0=0 , x'0=1

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A: We solve using the binomial coefficient. The detailed answer typeset in LaTEX is given in step 2.

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Q: Find x so that the dot product of the vectors u and v below is 23.

A: dot product will be 3*5+2*(-2)+2x so this must be  23

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Q: 1) Given the following RLC circuit zk +6 2 H m Ez 10 theeemnet JOV 2' nd order differential equation…

A: As per Bartleby guidelines,I solved first question only.

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Q: Find a polynomial p(x) in Q[x] such that Q(V1 + V5) is ring- isomorphic to Q[x]/{p(x)).

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Q: Solve the following initial value problem: y''+3y'+2y=u7(t); y(0)=0, y'(0)=1

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Q: (P →Q) = (¬ Q →→P) (P^Q) = (Q^P) ((P ✓ Q) ✓ R) = (P ✓ (Q ✓ R)) V V Pv (QAR) = (PvQ) ^ (PVR)

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Q: Find the minimal polynomial for 3√ 2 + 3√ 4 over Q.

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A: To find the scalar and vector triple product

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Q: Determine whether the following functions are even, odd, or neither algebraically

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A: We prove the details using the e-d definition in step 2. Solution has been typeset in LAtex clearly.

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Q: 2. Use polar coordinates to evaluate 3 √9-x² -3 0 sin(x² + y²) dydx

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Q: Write a statement and expression to represent the tape diagram. Then evaluate your expression. 6. 14…

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Q: 6. Prove that f(x)=√x is continuous for all x ≥ 0.

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Q: Find two positive numbers whose product is 100 and whose sum is a minimum. •  Identify the Objective…

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