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Unformatted text preview: Solve the following DE problem for y ( t ): dy dt + y = t with y (0) = 1 Short Question, Test #2, 2006: Solve the following DE problem for y ( t ): dy dt + (sin t ) y = 0 with y (0) = 1 1 Short Question, Test #2, 2009: The function y ( t ) solves the diﬀerential equation dy dt + 3 y = 0 (a) [3 marks] What is the general solution to this DE? (b) [2] If y (1) = 2 what is the solution y ( t )? Short Question, test #4, 2009: Consider the following linear diﬀerential equation for y ( t ): dy dt + ty = t (a) [2 marks] What is the integrating factor for this equation? (b) [3] Multiply the equation by the integrating factor and solve for the general solution y ( t ). 2 Short Question, Exam, 2007: Match the four direction ﬁelds and solutions plotted below ( y versus t ) to the four diﬀerential equations below: (a) y = y cos t 1+2 y 2 (b) y = t 2 ( y1)( y2) (c) y = t3 y (d) y = y 2t 3...
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This note was uploaded on 10/26/2010 for the course ENGINEERIN MECH221 taught by Professor Wetton during the Spring '10 term at The University of British Columbia.
 Spring '10
 WETTON

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