Unformatted text preview: b.) Substance X is converted into substance Y at a rate that, at any time t, is proportional to the cube of the amount of X. Set up the differential equation whose solution is y = f(t), the amount of substance X at time t. Sketch both the yz-graph and the graph of the solution. Label all graphs. 7.) (20 points) Use Euler’s method with n = 3 on 1 ≤ ≤ t to approximate the solution f(t) to 9 ) ( , 1 ' = + = y y t y Sketch your solution, label your graph. 8.) (5 points each) Find all constant solutions: a.) 2 3 9 3 ' y y y-= b.) 2 3 yt dt dy =...
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This note was uploaded on 04/07/2008 for the course MATH 122 taught by Professor Rommero during the Spring '08 term at SUNY Buffalo.
- Spring '08