Solve the system of DE: dx/dt + 2x/t = 1, dy/dt = x + y + 2x/t - 1

newtagi

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Hi everyone. I got a problem with the problem 786, I need your help.



\(\displaystyle \mbox{786. }\, \dfrac{dx}{dt}\, +\, \dfrac{2x}{t}\, =\, 1\)

. . . .\(\displaystyle \dfrac{dy}{dt}\, =\, x\, +\, y\, +\, \dfrac{2x}{t}\, -\, 1\)



I have addded up the equations and got x+y=e^t. What should I do then?
 

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Hi everyone. I got a problem with the problem 786, I need your help.



\(\displaystyle \mbox{786. }\, \dfrac{dx}{dt}\, +\, \dfrac{2x}{t}\, =\, 1\)

. . . . .\(\displaystyle \dfrac{dy}{dt}\, =\, x\, +\, y\, +\, \dfrac{2x}{t}\, -\, 1\)



I have addded up the equations and got x+y=e^t. What should I do then?

Where is the constant of integration? What did they ask you to do?
 
Last edited by a moderator:
Hi everyone. I got a problem with the problem 786, I need your help.



\(\displaystyle \mbox{786. }\, \dfrac{dx}{dt}\, +\, \dfrac{2x}{t}\, =\, 1\)

. . . .\(\displaystyle \dfrac{dy}{dt}\, =\, x\, +\, y\, +\, \dfrac{2x}{t}\, -\, 1\)



I have addded up the equations and got x+y=e^t.
What should I do then?
When you reply with the instructions, please include a clear listing of the steps which led to this result. Thank you! ;)
 
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