Section 7.5  Solving Initial Value Problems

• to be able to use Laplace transforms to solve initial value problems
• to be able to use Laplace transforms to solve higher order initial value problems

• method of  the Laplace transform

 
• not necessary to find a general solution

 
• moving the initial conditions to t = 0

 
• employing Theorem 6

solved problems - using key ideas

• using Laplace transforms to solve initial value problem, #1,5

 

 
 
 
 
 
 
 
 
 
 
 
 
 

• initial condition not at zero, #11

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 

• solving for Y(s), piecewise continuous functions, #24

 

 
 
 
 
 
 
 
 
 
 
 
 

• solving 3rd order initial value problem, #26

 

 
 
 
 
 
 
 
 
 
 
 
 
 

• finding a general solution with y(0) = a, y'(0) = b, #29

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

polynomial coefficients, #35
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

QUESTION OF THE DAY

Find

SOLUTION

SOLUTION.