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Unformatted text preview: equation u = u 2 t 2 + u t . ANSWER: tu-1 + ln( t ) = C 6. First Order Linear Solve the rst order linear equation u =-1 t u + t . ANSWER: u = t 2 3 + C t 7. Substitution Use the substitution y = u to solve a rst order equation u 00 + u = 3 t for y . Then use the result to solve for u (note your answer contains two arbitrary constants) ANSWER: u = 3 t 2 / 2-3 t + C 1-C 2 e-t 8. Bernoulli equation Find the general solution of u =-u t + 1 tu 2 . ANSWER: u 3-1-t-3 C = 0...
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- Fall '05