(a) Solve u'(t) + u(t) = e' subject to u(1) = 3. (b) Find the family of functions that satisfies P"(s) = 3 P'(s) – 2 P(s). In other words, find the general solution to the differential equation. Hint: the number e is understood by sympy as either sympy.E or sympy.exp(1). (c) Solve the differential equation in part (b) subject to P(1) = -1 and P'(e) = 1.

(a) Solve u'(t) + u(t) = e' subject to u(1) = 3. (b) Find the family of functions that satisfies P"(s) = 3 P'(s) – 2 P(s). In other words, find the general solution to the differential equation. Hint: the number e is understood by sympy as either sympy.E or sympy.exp(1). (c) Solve the differential equation in part (b) subject to P(1) = -1 and P'(e) = 1.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter2: Basic Linear Algebra

Section2.3: The Gauss-jordan Method For Solving Systems Of Linear Equations

Problem 9P

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