sf3(x) on the interval (-co, co). If a nontrivial solution exists, state it. (If only the trivial solution exists, independent on the interval (-0, co).

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Q: (b) Obtain the general solution of y^ prime prime +2y^ prime +y=e^ -x ln x on (0, ∞)

A: To find- Obtain the general solution of y'' + 2y' + y = e-xlnx on 0, ∞.

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Q: Determine the longest interval in which the initial value problem is certain to have a unique twice…

A: Differential equations

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A: To solve the given Homogenous IVP using the method of undetermined coefficients.

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Q: Determine (without solving the problem) an interval in which th solution of the given initial value…

A: 16-t2y'+5ty=7t2 , y(-7)=1 ⇒dydt+5t(16-t2)y=7t216-t2 16-t2=0⇒ t2=16⇒ t =±4

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Q: 3- Find non-zedo solution ofs dy

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A: Given

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