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

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 the corresponding homogenous equation

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

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

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

Expert Solution

Colby Messinger answered 2 years ago

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