Answered: Solve by the Integrating Factor method:…

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Solve by the Integrating Factor method: ty' + 2y = 41², t>0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.3: Quadratic Equations

Problem 51E

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Question

Can you show each step of solving? Like the steps I have below to make it easier to understand.

1. Write D.E. in standard form.
2. Find the integrating factor: μ(t) =
3. Multiply both sides of D.E. by μ(t):
4. Rewrite the left-hand side of D.E.: (μ(t) ·y)′=
5. Integrate both sides:
6. Solve for y:

Solve by the Integrating Factor method:
ty' + 2y = 41², t>0

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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