QUIZ 1
Name_____________________
Date______________________
1. Verify that the function y=ⅇ−3 x +2 x +3 is a solution to the differential equation
y ' +3 y=6 x +11
2. Verify that y=2ⅇ 3 x −2 x−2 is a solution to the differential equation
'
y −3 y=6 x + 4
3. A baseball is thrown upward from a height of 33 meters above Earth’s surface with an initial
velocity of 10m/, and the only force acting on it is gravity. The ball has a mass
of 0.150.15 kilogram at Earth’s surface.
a. Find the position s(t) of the baseball at time t.
b. What is its height after 22 seconds?
4. Solve the following differential equations
ⅆy
=ⅇ sec ( u ) ( 1+t )
y−t 2
a.
dx
3 x2 + 4 x−4
b. y ' =
2 y−4
' x y3
c. y =
√1+ x 2
Name_____________________
Date______________________
1. Verify that the function y=ⅇ−3 x +2 x +3 is a solution to the differential equation
y ' +3 y=6 x +11
2. Verify that y=2ⅇ 3 x −2 x−2 is a solution to the differential equation
'
y −3 y=6 x + 4
3. A baseball is thrown upward from a height of 33 meters above Earth’s surface with an initial
velocity of 10m/, and the only force acting on it is gravity. The ball has a mass
of 0.150.15 kilogram at Earth’s surface.
a. Find the position s(t) of the baseball at time t.
b. What is its height after 22 seconds?
4. Solve the following differential equations
ⅆy
=ⅇ sec ( u ) ( 1+t )
y−t 2
a.
dx
3 x2 + 4 x−4
b. y ' =
2 y−4
' x y3
c. y =
√1+ x 2
