SECTION 1.9
Problems 1, 2, 6, 17, 24, 26 For the first two problems, determine whether the given
differential equation is exact.
1.
y$e^x$dx + (2y - $xe^y$)dy = 0.
2.
(cos(xy) - xy sin(xy))dx - x$^2$ sin(xy)dy = 0
Solve the following exact equation/initial-value problem
1
2
6.
17.
HOMEWORK 2 PROBLEMS
(y$^2$ - 2x)dx + 2xydy = 0
y(1) = 5.
(3x$^2$ ln(x) + x$^2$y)dx - xdy = 0,
Use an integrating factor to solve the following two differential equations
24.
(3xy$^2$ - 2y$^ {-1}$)dx + x(x + y$^2$)dy = 0.
26.
(xy - 1)dx + x$^2$dy = 0.