-5 Use Thoorem 5.5.2 to write the voctor V= as linear oombination of -2/VTE -2/y8 4/V96 -21V12 and us -2/V12 2/V8 4/v96 Note that u,, u, and u, are orthonormal. 20V3 u, + 2/7 u+ V2 +1 Use Parseval's fomula to compute ||v|l. Ilv|l - 35

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.