550 Ordinary Differential Equations
Exercises 4.4 Nonhomogeneous Linear Equations with Constant
Coefficients- y = C1 e^2 x + c2e^2 x cos 3x + c3e^2 x sin 3x - 2xe^2 x sin 3x
Exercises 4.5 Initial Value Problems
- y = -e-2x + 3e2x - e3x
- y=-2ex+3cosx+4sinx+xex
Chapter 5 THE LAPLACE TRANSFORM METHOD
Exercises 5.1 The Laplace Transform and Its Properties
- a. 2bs/(s^2 + b^2 )^2 , s>O b. 2b(s - a)/((s - a)2 + b2)2, s>a
- e-3s Is 5. (e-4s - 2e-2s + l)js2
- a. 5/s b. e/s
c. 3/s^2 - 2/s d. 2/(s + 1)^2 + l/(s + 1)
e. 2/(s^2 - 4s + 13) - 2s/(s^2 + 1) f. e^2 /(s - 3)