Lecture 1 Notes

For this one brute force checking is expected as we

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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) ￿ d￿2 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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