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Unformatted text preview: Dierentiate y P and impose a condition on the u i s to make the result nice. Do it again. Dierentiate again and plug into L [ y ] = g ( t ). Notice that the coecient of y 000 is 1. Consolidate the equations for the derivatives of the u i s. Can we solve these equations for u 1 ,u 2 ,u 3 ? What would the equations look like in the fth order case? EXAMPLE. Find the general solution of y 000 + y = tan t,-/ 2 < t < / 2 . HOMEWORK: SECTION 4.4...
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