1. Please work out the solution for x(t). (1) Find the homogeneous solution: x(t) + 4x(t) + 3x(t) = 0. (Hint: Assume x(t) = = (2) Find the non-homogeneous solution: x(t) + 4x(t) + 3x(t) = 1. (3) Find the non-homogeneous solution: X(t) + 4x(t) + 3x(t) = sin (2t). ceat) 2. Please work out the homogeneous solution for the following 2nd-order ODES. (Hint: Assume x(t) = cet) (1) X(t) + 4x(t) + 4x(t) = 0. (2) X(t) + 4x(t) + 9x(t) = 0.
1. Please work out the solution for x(t). (1) Find the homogeneous solution: x(t) + 4x(t) + 3x(t) = 0. (Hint: Assume x(t) = = (2) Find the non-homogeneous solution: x(t) + 4x(t) + 3x(t) = 1. (3) Find the non-homogeneous solution: X(t) + 4x(t) + 3x(t) = sin (2t). ceat) 2. Please work out the homogeneous solution for the following 2nd-order ODES. (Hint: Assume x(t) = cet) (1) X(t) + 4x(t) + 4x(t) = 0. (2) X(t) + 4x(t) + 9x(t) = 0.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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