6. y"+4y = sec 2x/Find the general solutionSolutionsin 2x.-In(cos 2x)8116. y= c, +c2 cos 2x+c, sin 2x+In(sec2x+tan 2.x)-xcos 2x+164

Given differential equation is y'''+4y'=sec2x We have to find the solution of the given differential…

Answered: Find the general solution 6. y"+4y' =…

Find the general solution 6. y"+4y' = sec2x Solution 6. y=c, +c, cos 2x+c, sin 2x+ 16 sin 2x -In(sec 2x+ tan 2x)-xcos 2x+ 8. -In(cos 2x) 4

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.2: Trigonometric Equations

Problem 75E

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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

6. y"+4y = sec 2x
/
Find the general solution
Solution
sin 2x.
-In(cos 2x)
8
1
1
6. y= c, +c2 cos 2x+c, sin 2x+In(sec2x+tan 2.x)-xcos 2x+
16
4

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