THE SOLUTION OF DIFFERENTIAL EQUATIONS USING LAPLACE TRANSFORMS 649
K
d^2 y
dx^2
+
dy
dx
− 2 y=3 cos 3x−11 sin 3x,
giveny(0)=0 andy′(0)= 6
[y=ex−e−^2 x+sin 3x]
d^2 y
dx^2
− 2
dy
dx
+ 2 y=3excos 2x,given
y(0)=2 andy′(0)= 5
[
y=3ex( cosx+sinx)−excos 2x
]
- Solve, using Laplace transforms, Problems
4 to 9 of Exercise 188, page 477 and
Problems 1 to 5 of Exercise 189, page 480.
- Solve, using Laplace transforms, Problems
3 to 6 of Exercise 190, page 483, Problems
5 and 6 of Exercise 191, page 485, Prob-
lems 4 and 7 of Exercise 192, page 487 and
Problems 5 and 6 of Exercise 193, page 490.
