ENGR 205 Study Guide - Midterm Guide: Wronskian
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B10. linearly dependent or independent. find a general solution and a solution that satisfies given conditions. yields an auxiliary equation with real roots. For a given d. e. , determine whether the theorem on existence and uniqueness applies. If it does, discuss that conclusions can be drawn. Use the definition of linear independence to determine whether given functions (cid:1877)(cid:2869) and (cid:1877)(cid:2870)are linearly independent (perhaps on a specified interval). Given that (cid:1877)(cid:2869) and (cid:1877)(cid:2870) are solutions to the same d. e. , use the wronskian to show they are. For a given d. e. , (cid:1877)(cid:2869) and (cid:1877)(cid:2870), verify that (cid:1877)(cid:2869) and (cid:1877)(cid:2870)are independent solutions of the d. e. Find a general solution to a homogeneous (cid:4666)=(cid:882)(cid:4667) d. e. with real constant coefficients that. Find the form for a particular solution, (cid:1877), to a given d. e. Find an operator that annihilates a given (cid:4666)(cid:1876)(cid:4667). Use the method of undetermined coefficients to find a particular solution to a linear.
