Solution :
Given that,
Statement : be a continuously differentiable function,
Let have coordinates (x,y)
Fix a point ,where is the zero vector.
If the Jacobian matrix is invertible, thten there exists an open set U of RK containing a such that there exixts a unique continuosly differentiable function
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here
Fix a point(1,1,1,1)
by implicit function therom,there exixts an open set U of
containing (1,1) such tha there exixts a unique continuously differentiable function
with y(1,1)=1,z(1,1)=1 that is, there exixst a differenable functions in the neighbourthood of(1,1) so that y(1,1)=1, z(1,1)=1.
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(b.)
also we have
for b partfor b part Problem 2. The following non-linear system is given: y} = 11y2...
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