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Chapter 10: Ordinary Differential Equations
- Online Test
Chapter 10: Ordinary Differential Equations
TEST : 3
# Chapter 10: Ordinary Differential Equations
# TN 12th Maths
Prepare / Learn
Q1.
Integrating factor of the differential equation
is
A.
1 /
x
+1
B.
x
+1
C.
1 /
√(
x
+1)
D.
√(
x
+1)
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Chapter 10: Ordinary Differential Equations
# TN 12th Maths
Prepare / Learn
Q2.
The population
P
in any year t is such that the rate of increase in the population is proportional to the population. Then
A.
P = Ce
^{kt}
B.
P = Ce
^{−kt}
C.
P = Ckt
D.
P = C
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Chapter 10: Ordinary Differential Equations
# TN 12th Maths
Prepare / Learn
Q3.
P is the amount of certain substance left in after time
t
. If the rate of evaporation of the substance is proportional to the amount remaining, then
A.
P = Ce
^{kt}
B.
P = Ce
^{−kt}
C.
P = Ckt
D.
Pt = C
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 10: Ordinary Differential Equations
# TN 12th Maths
Prepare / Learn
Q4.
If the solution of the differential equation
represents a circle, then the value of
a
is
A.
2
B.
−2
C.
1
D.
−1
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 10: Ordinary Differential Equations
# TN 12th Maths
Prepare / Learn
Q5.
The slope at any point of a curve
y
=
f (x)
is given by
dy/dx
= 3
x
^{2}
and it passes through (-1,1). Then the equation of the curve is
A.
y =
x
^{3}
+ 2
B.
y
= 3
x
^{2}
+ 4
C.
y
= 3x
^{3}
+ 4
D.
y
=
x
^{3}
+ 5
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
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