For the following exercises, use the method of Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraints. 369. Minimize f ( x , y ) = x 2 + y 2 on the hyperbola xy= 1
For the following exercises, use the method of Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraints. 369. Minimize f ( x , y ) = x 2 + y 2 on the hyperbola xy= 1
For the following exercises, use the method of Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraints.
369. Minimize
f
(
x
,
y
)
=
x
2
+
y
2
on the hyperbola xy=1
Q2) A: Find the region where ODEs has no limit cycle:
x = y + x³
y=x+y+y³
6
Q3)A: Given H(x,y)=x2-x+ y²as a first integral of an ODEs, find this ODES
corresponding to H(x,y) and show the phase portrait by using Hartman
theorem and by drawing graph of H(x,y)-e. Discuss the stability of
critical points of the corresponding ODEs.
Q/ Write Example
is First integral but not
Conservation system.