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Chapter 5: Q4E (page 271)

In Problems 3鈥�6, find the critical point set for the given system.

dxdt=y-1dydt=x+y+5

Short Answer

Expert verified

The only critical points are (-6,1).

Step by step solution

01

Find critical points

Consider the system as;

dxdt=y-1dydt=x+y+5

For finding the critical points put the system equal to 0.

So,

y-1=0y=1x+y+5=0x+y=-5

02

Solve for x and y

Put the value of y in another equation and solve then;

x+1=-5x=-6

Thus, the only critical point is (-6, 1).

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