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  3. let a be a non zero constant and consider: y''+(1/

let a be a non zero constant and consider: y''+(1/t)y'=a a. show that 1 and ln(t)...

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Advance Math

let a be a non zero constant and consider: y''+(1/t)y'=a

a. show that 1 and ln(t) are linear independent solutions of thecorresponding homogenous equation

b. using variation of parameters find the particular solution tothe non homogenous equation

c. express the solution to the non homogenous equation in termsof a. and b.

d.since y itself does not appear in the equation, thesubstitution w=y' can be used to reduce the equation to a linear1st order equation. use this substitution to solve for w directlyusing a 1st order technique and verify that the two techniquesproduce the same answer

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