Please specify any additional info needed.
Solution:
Given
(y′)^2=(y′′′+yy′′+1),y(0)=0,h=0.1,y(0.3)=?
Euler method
y1=y0+hf(x0,y0)
=0+(0.1)f(0,0)
=0+(0.1)⋅(0)
=0+(0)=0
y2=y1+hf(x1,y1)
=0+(0.1)f(0.1,0)
=0+(0.1)⋅(0)
=0+(0)=0
y3=y2+hf(x2,y2)
=0+(0.1)f(0.2,0)
=0+(0.1)⋅(0)
=0+(0)=0
∴y(0.3)=0
Please specify any additional info needed. 1) H. Blasius, in his study of laminar flow of...
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