MAT 252 – Differential Equations
QUIZ: 1.1, 1.2,2.1,2.1,2.3,2.4
Classify the following differential equation as linear or nonlinear. Give the order of each.
5
1. x
d3y
 dy 
 2   y  0
3
dx
 dx 
Verify the indicated functions are solutions of the given differential equation.
1
y 2
2. x 2 dy  2 xydx  0
x
Determine a region of the xy-plane for which the given differential equation would have a unique solution
through a point  x0 , y0  in the region.
3.
dy
 xy
dx
Solve the differential equation by separation of variables.
4.
dy
 2 xy  0
dx
Determine that the equation is homogeneous, and then solve the following differential equation by making an
appropriate substitution.
5.  x  y  dx  xdy  0
Determine if the equation is exact. If it is exact, solve.
6.
 4 y  2x  5 dx   6 y  4x 1 dy  0
y (1)  2