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Question: differential equations - task for homework

Question:differential equations - task for homework

Przemo 10 Maple 16
April 03 2013
1

Hi 

I have a problem with my three task to do in Maple (ver.16)

1. I have a differential equations:

dy/dt=-y, y(0)=1

How to do it in Maple (using Dsolve command) and how to draw this ?

 

2. Solve and draw second-order differential equation :

d2y/dt2+y(t)=sin t   ; y(0)=0 ; y'(0)=1

 

3. Solve and draw equation:

d2y/dt2+a1(dy/dt)+a2y(t)=0 ; y(0)=1, y'(0)=0

when:  a2=1

          a1=0,75;1,5;2,25

Draw all curves on one graph. In this example you can declare a1 as edifice a1[i]

I would be grateful for any help 

sorry for my english 

thnx 

Przemo

 

       

 
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