Question (1 point) Consider the differential equation dy = 6x, dx with initial condition y(0) = 2. A. Use Euler's method with two steps to estimate y when x = 1: y(1) (Be sure not to round your calculations at each step!) Now use four steps: y(1) (Be sure not to round your calculations at each step!) B. What is the solution to this differential equation (with the given initial condition)? y = C. What is the actual value of y(1) for this IVP? Use the solution you found in B. y =

Transcribed Image Text: (1 point) Consider the differential equation dy = 6x, dx with initial condition y(0) = 2. A. Use Euler's method with two steps to estimate y when x = 1: y(1) (Be sure not to round your calculations at each step!) Now use four steps: y(1) (Be sure not to round your calculations at each step!) B. What is the solution to this differential equation (with the given initial condition)? y = C. What is the actual value of y(1) for this IVP? Use the solution you found in B. y =
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Transcribed Image Text: (1 point) Consider the differential equation dy = 6x, dx with initial condition y(0) = 2. A. Use Euler's method with two steps to estimate y when x = 1: y(1) (Be sure not to round your calculations at each step!) Now use four steps: y(1) (Be sure not to round your calculations at each step!) B. What is the solution to this differential equation (with the given initial condition)? y = C. What is the actual value of y(1) for this IVP? Use the solution you found in B. y =