Consider the autonomous DE  . dx/dt = x^2 - 8x + 7   (a) Its stable critical point is  x=   unstable critical point is  x=   (b) Applying five iterations of the Forward Euler Method to the above DE, using a step size  h(0.1) and initial condition x(0)=3, yields:     x(0.1)approximately x1 =     x(0.2)approximately x2 =     x(0.3)approximately x3 =     x(0.4)approximately x4=     x(0.5)approximately x5 =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the autonomous DE  . dx/dt = x^2 - 8x + 7
 

(a) Its stable critical point is  x=  

unstable critical point is  x=
 


(b) Applying five iterations of the Forward Euler Method to the above DE, using a step size  h(0.1) and initial condition x(0)=3, yields:
 

  x(0.1)approximately x1 =

 

  x(0.2)approximately x2 =

 
  x(0.3)approximately x3 =
 

  x(0.4)approximately x4=
 

  x(0.5)approximately x5 =

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