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Find the general solution of the differential equations given the initial values below.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section: Chapter Questions

Problem 7RE

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

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Find the general solution of the differential equations given the initial values below.

a) y +3y = 12, v(0) = 6
b) V+y = (x + 1)², v(0) = 3
c) y +x°y = 4x°, v(0) = –1
d) v + 3a?y = xe-, v(0) = -i

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