Calculus Review1 (DEQ, Slope Fields, Euler's Method)
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DEQ’s, Slope Fields, and Euler’s Method: HW!! 1. , y(-1) = 0 2. , y(0) = 2 3. , y(o) = 0 4. , y’’(1) = 2, y’(1) = 3, y(1) = 1 5. Consider the diferential equation Calculate approximate y-values using Euler’s method with three steps and x = 0.1, starting at each of the following points: (0,2) ; (0, 3.14) 6. Use Euler’s method to approximate the value of y at x=1 on the solution curve to the differential equation that passes through (0,0). Use x = 1/5 (i.e. 5 steps)
Transcript of Calculus Review1 (DEQ, Slope Fields, Euler's Method)
DEQ’s, Slope Fields, and Euler’s Method: HW!!
1. , y(-1) = 0
2. , y(0) = 2
3. , y(o) = 0
4. , y’’(1) = 2, y’(1) = 3, y(1) = 1
5. Consider the diferential equation
Calculate approximate y-values using Euler’s method with three steps and x = 0.1, starting at each of the following points: (0,2) ; (0, 3.14)
6. Use Euler’s method to approximate the value of y at x=1 on the solution curve to the differential equation
that passes through (0,0). Use x = 1/5 (i.e. 5 steps)
