1/ By using substituion y = ux , where u is a function of x, solve the differential equation 2xy$dy/dx $ = $x^2 + 2y^2 $, expressing explicitly in terms of x .
2/ Give matrix A = - 2 1 3
3 0 0
2 2 2
The linear transformation T : $R^3 -> R^3 $ is representer by the matrix
T : x
A: x
y
z
y --->
z
Find the inverse image under T of x
y
z
[RIGHT][I][B]Nguồn: MathScope.ORG[/B][/I][/RIGHT]