MATH 240 Midterm: MATH 240 KSU Test 3u07

12 views11 pages

Document Summary

Use improved euler"s method with step size h = 0. 5 to approximate y( )1 for the differential equation dy dx x. 2 (10 points) . use euler"s methods to approximate the solution of the following first order linear equation. 1 dx dt dy dt at t = 0. 2 with step size h = 0. 1. Solve the followings: (a)find the laplace transform of the function f t. 2 t (b) find the inverse laplace transform of the function. 3 as a product of a rational number. 3 (c)(4 points). if = ( )1 and : (10 points) use the laplace transform to find the solution of the differential equation. 3 with appropriate units, then what is the behavior of the cx kx k. Consider the differential equation x (a) describe the location of the poles of the laplace transform of x t( ) positive constants.