dy =-200000y + 200000e-*- e-x a. Verify that y = e-* e-200000x is a solution...

 

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dy =-200000y + 200000e-*- e-x a. Verify that y = e-* – e-200000x is a solution for y(0) = 0. b. Estimate the stepsize required to maintain stability using the explicit Given | dx %3D Euler method. c. Why is this D.E. stiff? d. Verify (b) using software to solve the D.E. i. Use Euler's method - take several steps using h's that are less than, greater than, and equal to the value in (b). ii. Use a valid software option for stiff systems to solve from x = 0 to 0.1. dy =-200000y + 200000e-*- e-x a. Verify that y = e-* – e-200000x is a solution for y(0) = 0. b. Estimate the stepsize required to maintain stability using the explicit Given | dx %3D Euler method. c. Why is this D.E. stiff? d. Verify (b) using software to solve the D.E. i. Use Euler's method - take several steps using h's that are less than, greater than, and equal to the value in (b). ii. Use a valid software option for stiff systems to solve from x = 0 to 0.1.

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