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Unformatted text preview: ° = ° ?± and show that it transforms this equation into an exact equation (do not solve ): ² ? 2 + ? 2 ³?? − ?? ?? = 0 B. (2 points) Find a differential equation whose general solution is given by sin ? + ?± + ? 3 + ? 2 = ? 3 3. (5 points) Knowing that ? 1 = ? 2 is a solution to ? 2 ? ′′ − 2 ? = 0 , use the method of reduction of order to find a second solution to this equation. 4 4. (4 points) Show that the substitution ° = ?± + ?² + ? transforms the differential equation ?² ?± = ³ ( ?± + ?² + ? ) into a separable equation. 5 5. (4 points) Use the Laplace Transform to solve ? ′ = ° ( ± − ? ) ....
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This note was uploaded on 09/29/2010 for the course MATH 108 taught by Professor Trangenstein during the Spring '07 term at Duke.
 Spring '07
 Trangenstein
 Math

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