The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2 -SP(x) dx Y₂ = ₂(x) [² -dx (5) as instructed, to find a second solution y/₂(x). y" - 6y¹ +9y=0; y₁ = e³x

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A: We can find the range as below.

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A: Given: ∫0π4∫0cosθ3r2sinθdrdθ

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A: Given ,  You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes,…

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A: Given: f1x=2+x, f2x=x, f3x=x2

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A: We need to write an equation for a rational function with : Vertical asymptotes at x=-4 and x=2…

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A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: Solution of given question is written in below steps.

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A: We can  formulate the equation of the function by using the vertical asymptote and the  intercepts.

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A: Radius and interval of convergence

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Q: Find the general solution of the given second-order differential equation. 9y"+y' = 0 y(x) =

A: General solution of real roots is used.

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A: Explanation of the answer is as follows

Q: 1) y" - 36y = 0.

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Q: Solve the given differential equation. x²y" + 13xy' + 36y = 0 y(x) = ,X>0

A: The given differential equation is;  x2y''+13xy'+36y=0.

Q: Let f(x) = { tan^−1 ⁡(2x) if x ≥ 0, ax+b if x < 0. For which values of a and b is f(x)…

A: topic- limits and derivatives

Q: Sketch the region of integration. [ [² x√ 1 + y³ dy dx

A: The answer as follows:

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A: Here we have to sketch the graph and then finds its domain and range.

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A: Concept: Bisection method: To determine the roots of a polynomial problem, utilize the bisection…

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Q: A proton traveling at 34.2° with respect to the direction of a magnetic field of strength 2.27 mT…

A: Given  θ=34.2° B=2.27mT F=9.44×10-17 N

Q: Find the domain of the function. 7 |x²-161 g(x)

A: Domain : It is the set of all real numbers for which the equation is defined.