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Unformatted text preview: Diﬀerentiate y P and impose a condition on the u i ’s to make the result nice. Do it again. Diﬀerentiate again and plug into L [ y ] = g ( t ). Notice that the coeﬃcient 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 ﬁfth order case? EXAMPLE. Find the general solution of y 000 + y = tan t,π/ 2 < t < π/ 2 . HOMEWORK: SECTION 4.4...
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 Spring '08
 Fonken
 Differential Equations, Equations, order case

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