The equations xcos(u) + 9uy2 + e² + 2 = 0 and 3ye" + 4x²v – 3æcos(2) +1 = 0 are solved for u and v as functions of x, y and z near the point P where (x,y,z)=(2,1,0) and (u,v)= (0,1). Find ( ) y.z at P. -

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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The equations xcos(u) + 9uy² +e² +2 = 0 and 3ye" + 4x²v – 3xcos(z) +1 = 0 are
solved for u and v as functions of x, y and z near the point P where (x,y,z)=(2,1,0) and (u,v)=
du
(0,1). Find ()u.z at P.
Transcribed Image Text:The equations xcos(u) + 9uy² +e² +2 = 0 and 3ye" + 4x²v – 3xcos(z) +1 = 0 are solved for u and v as functions of x, y and z near the point P where (x,y,z)=(2,1,0) and (u,v)= du (0,1). Find ()u.z at P.
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