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Unformatted text preview: ar in the DE but arises while
solving the equation (usually at an integration step).
• A particular solution  a solution with no arbitrary constants in it.
• The general solution  a solution with one or more arbitrary constants that
encompass ALL possible solutions to the DE. Verifying that a function is a solution
• Plug it in and make sure it satisﬁes the equation. Verifying that a function is a solution
• Plug it in and make sure it satisﬁes the equation. Verifying that a function is a solution
• Plug it in and make sure it satisﬁes the equation. For this one, “brute force checking”
is expected as we don’t have a
technique to handle this type yet. Verifying that a function is a solution
• Plug it in and make sure it satisﬁes the equation. For this one, “brute force checking”
is expected as we don’t have a
technique to handle this type yet. Method of integrating factors (Section 2.1)
d2
t y (t) =
dt dy
(A) 2t
dt
(B) t 2 dy dt (C) 2ty
(D) t 2 dy dt + 2ty Method of integrating factors (Secti...
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 Spring '13
 EricCytrynbaum
 Math, Differential Equations, Logic, Equations, Partial Differential Equations

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