# Problems9. Given that x, x2, and 1/x are solutions of the homogeneousequation corresponding toIn cach of Problems 1 through 4, use the method of variation ofparameters to determine the general solution of the given differentialequation.xy"+x?y"-2xy +2y 2x, x> 0,1. y +y tan t,determine a particular solution.10. Find a formula involving integrals for a particular solution of thedifferential equation2. y"-y' t3. y-2y"-y'+2y e4. y-y"+y'-y e sinty"-y"+y-y= g(1).In each of Problems 5 and 6, find the general solution of the givendifferential equation. Leave your answer in terms of one or moreintegrals.11. Find a formula involving integrals for a particular solution of thdifferential equationes:ReductiUndetery4)- y= g(1).5. y-y+y-y-secr, -

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Asked Dec 15, 2019
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How might I be able to answer problem 4? This problem is from a Differential Equations Textbook. The section is titled, "The Method of Variation of Parameters."

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## Expert Answer

Step 1

In the method of variation of method, the complete solution is calculated just by the CF, NO PI is needed.

Step 2

For the differential equation, y’’’y’’+y’-y=e-tsint the characteristic equation is,

Step 3

For m=1,i, -i the yc(t)...

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