Name :
Score :
Teacher :
Date :
Differential Equations
Find the general solution for of each differential equation.
3
2
__
1) dy
= 7x + 7x + x + 1
dx
__
2) dy
= 30 cos(15x)
dx
28
__
__
3) dy
=
5
dx
__
4) dy
= -80 sin(-16x)
dx
2
__
5) dy
=
-42
sec
(-14x + 14)
dx
-3
__
______
6) dy
=
4
dx
-16
__
___
7) dy
=
3
dx
__
8) dy
= -140 sin(28x - 8)
dx
x
x
3
__
9) dy
= 4x + 3x + 2
dx
(x + 4)
3
2
__
10) dy
= -4x - 4x - 7x
dx
Math-Aids.Com
Calculus Worksheets
Name :
Score :
Teacher :
Date :
Differential Equations
Find the general solution for of each differential equation.
3
2
__
1) dy
= 7x + 7x + x + 1
dx
y = _74 x + _73 x + _12 x + x + C
4
3
2
28
__
__
3) dy
=
5
dx
__
2) dy
= 30 cos(15x)
dx
y = 2sin(15x) + C
__
4) dy
= -80 sin(-16x)
dx
x
-7
y = __4 + C
y = -5cos(-16x) + C
x
2
__
5) dy
=
-42
sec
(-14x + 14)
dx
y = 3tan(-14x + 14) + C
-3
__
______
6) dy
=
4
dx
(x + 4)
1
y = ______3 + C
(x + 4)
-16
__
___
7) dy
=
3
dx
__
8) dy
= -140 sin(28x - 8)
dx
x
8
y = _2 + C
y = 5cos(28x - 8) + C
x
3
__
9) dy
= 4x + 3x + 2
dx
y = x + _32 x + 2x + C
4
2
3
2
__
10) dy
= -4x - 4x - 7x
dx
y = -x - _43 x - _72 x + C
4
3
2
Math-Aids.Com
Calculus Worksheets