Lab1 - By suitably modifying the above commands and...

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MATH 138 Maple Lab Assignment 1 Due: Friday, February 26, by 11:00 a.m. in the MATH 138 dropboxes outside of MC 4066. This question is designed to give you some familiarity with the use of Maple in solving differential equations. For practice, type the following commands into your Maple worksheet. with(DEtools): ode1 := diff(y(x),x) = x+y(x); dsolve( { ode1, y(0) = 1 } ); dsolve( { ode1, y(0) = -1 } ); dsolve( { ode1, y(0) = -2 } ); DEplot(ode1, y(x), x=-3. .3, y=-3. .3, [[y(0)=1], [y(0)=-1], [y(0)=-2]], linecolour = black); You should be getting 3 solutions and the direction field for the differential equa- tion discussed on page 572 of the textbook. You do not need to submit this output.
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Unformatted text preview: By suitably modifying the above commands and parameters, find 3 solutions to the differential equation dy dx = ( y-1)(4-y ) satisfying conditions y (0) = 5 , y (0) = 2 , y (0) = 0 . 5 and plot the solution curves and the direction field inside the square region-3 ≤ x ≤ 3 , ≤ y ≤ 6 . QUESTION. Your solution y that starts with y (0) = 2 seems to have its steepest slope when y = 2 . 5 . Explain briefly how this can be predicted directly from the differential equation. Write your answer on the printout of your Maple worksheet. 1...
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