Determine the vector field associated with the first-order system specified.(b)Sketch enough vectors in the vector field to get a sense of its geometric structure.(You should do this part of the exercise without the use of technology.)(c)UseHPGSystemSolverto sketch the associated direction field.(d)Make a rough sketch of the phase portrait of the system and confirm your answerusingHPGSystemSolver.(e)Briefly describe the behavior of the solutions.1.dxdt=1dydt=02.dxdt=xdydt=13.dydt=−
Determine the vector field associated with the first-order system specified.(b)Sketch enough vectors in the vector field to get a sense of its geometric structure.(You should do this part of the exercise without the use of technology.)(c)UseHPGSystemSolverto sketch the associated direction field.(d)Make a rough sketch of the phase portrait of the system and confirm your answerusingHPGSystemSolver.(e)Briefly describe the behavior of the solutions.1.dxdt=1dydt=02.dxdt=xdydt=13.dydt=−
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Determine the vector field associated with the first-order system specified.(b)Sketch enough vectors in the vector field to get a sense of its geometric structure.(You should do this part of the exercise without the use of technology.)(c)UseHPGSystemSolverto sketch the associated direction field.(d)Make a rough sketch of the phase portrait of the system and confirm your answerusingHPGSystemSolver.(e)Briefly describe the behavior of the solutions.1.dxdt=1dydt=02.dxdt=xdydt=13.dydt=−vdvdt=y4.dudt=u−1dvdt=v−15.dxdt=xdydt=−y6.dxdt=xdydt=2y
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