Value Problems
Uncategorized June 24th. 2010, 7:47amValue Problems
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Initial Value Problem Example 1
Who Do You Hire? Have You Considered the Value of a Veteran?
When you're starting a business, one of the things you need to learn is how to hire the right people. You hear how hard it is to find employees who are team-oriented people with a solid work ethic. When you hear that, it should make one segment of the population immediately leap to the front of your thoughts. Veterans have proven that they have a solid work ethic under the most difficult conditions. Here are three ways that hiring Veterans will make your business more successful.
1. It's cost-effective. You will reduce your recruitment costs and employee turnover. When you hire Veterans, you will have reduced training costs. In fact, you will probably get employees with more training and skills than you can afford to develop on your own. You may not know how difficult it is to get into the military today. The days of judges giving young offenders a choice of jail or the military are long gone. Your Veteran employee has been screened and had to measure up to more stringent requirements than you are likely to be allowed by law to require.
2. It's beneficial. Every business struggles with issues like tardiness, absenteeism, and interpersonal drama. Veterans, Reservists and Guard members are disciplined. They are team players. In the worst circumstances imaginable, they showed up to achieve goals that were assigned to them. Showing up and punching in on time for an employer who appreciates them and their service is an easy decision for a Veteran. A chain of command is understandable to Veterans. So is a mission. Your projects are not that different from missions except that they're probably less dangerous.
3. It's agile. If you think someone who has a knack for problem-solving would be an asset to your company, consider that a combat Veteran has been problem-solving under more challenging conditions than you are ever likely to have in your company. They know the importance of solving problems and they know how to assess a situation and quickly adjust strategy. Consultants are out there ready to teach your employees how to be agile, how to do things better, faster, and cheaper. Define the problems clearly and consider hiring people who are already agile in thoughts and actions.
Conclusion: Relevant, clear, concise communication is the first step toward a smooth operation. Hiring Veterans who will run with a task as soon as you can define it will lead to greater success. Hiring Veterans will also make you feel proud of yourself.
About the Author
Got drama in your workplace? Drama comes from confusion and resulting dissatisfaction. Put a solid, structured business system and clear, concise communication in place and end the drama.
Joy Montgomery converts business requirements to system specifications and task-oriented communication in a way that strengthens teams - a friendly way. She puts you in a position to succeed with consistently satisfied customers and employees.
Solve the initial value problems?
Solve the initial value problems.
(a) y'=y+e^(t/4); y(0)=2
(b) y'+2y=te^(-2t); y(1)=0
Please explain clearly because my book doesn't have anything about it, yet it's part of my homework.
(a) y'=y+e^(t/4); y(0)=2
This is first-order linear when re-written as the following:
y'-y=e^(t/4)
Integration factor=e^(∫-1 dt)=e^(-t)
Multiply both sides by integration factor.
e^(-t)y'-e^(-t)y=e^(-3t/4)
d/dt[e^(-t)*y]=e^(-3t/4)
Integrate both sides.
e^(-t)*y=-4/3*e^(-3t/4) + C
y=-4/3*e^(t/4) + C*e^(t)
2=-4/3+C
C=10/3
y=-4/3*e^(t/4)+10/3*e^(t)
(b)
Another first order linear problem
y'+2y=t*e^(-2t)
Integration factor=e^(∫ 2 dt)=e^(2t)
Multiply both sides by integration factor.
y'(e^(2t))+2*e^(2t)y=t
d/dt[y*e^(2t)]=t
y*e^(2t)=t^2/2 + C
y=t^2/2*e^(-2t)+C*e^(-2t)
0=1/2+C
C=-1/2
y=t^2/2*e^(-2t)-1/2*e^(-2t)


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