ans

Consider the differential equation jz = 9z, with initial condition y(0) = 7. (1) Verify by direct substitution that y(z) = % + 7 is the solution of the differential equation above with the given initial condition. (2) Use Euler's method with two steps to estimate y when z = 1: y(1) ~ C] What is the magnitude of the error? Error = D (3) Use Euler's method with four steps to estimate y when z = 1: y(1) ~ C] What is the magnitude of the error? Error = C] (4) By what factor should the error in these approximations change (that is, the error with two steps should be what number times the error with four)? factor = C] Select a blank to innut an