Description
1) Use a substitution to solve the following differential equation.
dy
dx = 3x + y + 9x
2 + 6xy + y
2 − 15
2) Use a substitution to solve the following differential equation.
dx
dt +
x
t
= 3x
3
3) Use a substitution to solve the following differential equation.
xy0 = xe−y/x + y x > 0
4) Solve the following ”almost exact” differential equation by first finding
an integrating factor.
(2xy3 + y
4
)dx + (xy3 − 2)dy