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Consider the solution of the differential equation 7/ : 47; passing through y(0) : 1. (1) Sketch the slope eld for this differential equation, and
Consider the solution of the differential equation 7/ : 47; passing through y(0) : 1. (1) Sketch the slope eld for this differential equation, and sketch the solution passing through the point (0, 1). 2 737.. round your answers at each step!) (2) Use Euler's method with step size Am : 0.2 to estimate the solution at a: : 0.2 . ,1, using these to fill in the following table. (Be sure not to 3 4 yMDDD (3) Plot your estimated solution on your slope eld. Compare the solution and the slope field. Is the estimated solution an over or under estimate for the actual solution? B (4) Check that y : 64\"\" is a solution to y' : 4y with y(0) : 1
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