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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