12th Standard Syllabus & Materials
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TN 12th Standard Biology Zoology - Reproduction in Organisms Creative Questions Study Material - QB365 Set C
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TN 12th Standard Biology Zoology - Reproduction in Organisms Creative Questions Study Material - QB365 Set B
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TN 12th Standard Biology Zoology - Reproduction in Organisms Creative Questions Study Material - QB365 Set A
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TN 12th Standard Physics Electronics and Communication Creative Questions Study Material - QB365 Set C
Published on: 05/11/2020
12th Standard Maths Ordinary Differential Equations English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021
Download Tamil Nadu 12th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
The differential equation associated with the family of concentric circles having their centres at the origin is _________.
\(\frac { dy }{ dx } =\frac { -x }{ y } \)
\(\frac { dy }{ dx } =\frac { -y }{ x } \)
\(\frac { dy }{ dx } =\frac { x }{ y } \)
\(\frac { dy }{ dx } =\frac { y }{ x } \)
2.
Using y = vx, the differential equation \(\frac { dy }{ dx } =\frac { y }{ x+\sqrt { xy } } \) is reduced to ________.
x(1+\(\sqrt{v}\))dv = v\(\sqrt{v}\)dx
x(1-\(\sqrt{v}\))dv = v\(\sqrt{v}\)dx
x(1+\(\sqrt{v}\))dv = -v\(\sqrt{v}\)dx
v(1+\(\sqrt{v}\))dx - v\(\sqrt{v}\)dv = 0
3.
The population p of a certain bacteria decreases at a rate proportional to the population p. The differential equation corresponding to the above statement is __________.
\(\frac{dp}{dt}=\frac{k}{p}\)
\(\frac{dp}{dt}=kt\)
\(\frac{dp}{dt}=kp\)
\(\frac{dp}{dt}=-kp\)
4.
5.
The solution of (x2 - ay)dx = (ax - y2)dy is ___________
y = x2+y2-a(x+y)
y = x2+y2-a(x+y)
x3+y2 = 3ayx+c
(x2-ay)(ax-y2) = 0
6.
If sin x is the integrating factor of the linear differential equation \(\frac { dy }{ dx } +Py=Q,\) then P is
log sin x
cos x
tan x
cot x
7.
If p and q are the order and degree of the differential equation \(y=\frac { dy }{ dx } +{ x }^{ 3 }\left( \frac { { d }^{ 2 }y }{ { dx }^{ 2 } } \right) +xy=cosx,\) When
p < q
p = q
p > q
p exists and q does not exist
8.
The solution of \(\frac{d y}{d x}+p(x) y=0\) is
\(y={ ce }^{ \int { pdx } }\)
\(y={ ce }^{ -\int { pdx } }\)
\(x={ ce }^{ -\int { pdy } }\)
\(x={ce }^{ \int { pdy } }\)
9.
The general solution of the differential equation \(\frac { dy }{ dx } =\frac { y }{ x } \) is
xy = k
y = k log x
y = kx
log y = kx
10.
The differential equation representing the family of curves y = Acos(x + B), where A and B are parameters,is
\(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } } -y=0\)
\(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } }+y=0\)
\(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } }=0\)
\(\frac { { d }^{ 2 }x }{ { dy }^{ 2 } }=0\)
1.
(a)
\(\frac { dy }{ dx } =\frac { -x }{ y } \)
2.
(c)
x(1+\(\sqrt{v}\))dv = -v\(\sqrt{v}\)dx
3.
(d)
\(\frac{dp}{dt}=-kp\)
4.
(c)
5.
(c)
x3+y2 = 3ayx+c
6.
(d)
cot x
7.
(c)
p > q
8.
(b)
\(y={ ce }^{ -\int { pdx } }\)
9.
(c)
y = kx
10.
(b)
\(\frac { { d }^{ 2 }y }{ { dx }^{ 2 } }+y=0\)
12th Standard Syllabus & Materials
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TN 12th Standard Physics Electronics and Communication Creative Questions Study Material - QB365 Set B
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TN 12th Standard Physics Electronics and Communication Creative Questions Study Material - QB365 Set A
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Tamilnadu Stateboard 12th Standard Subjects
Maths
Chemistry
Physics
Biology
Computer Science
Business Maths and Statistics
Economics
Commerce
Accountancy
History
Computer Applications
Biology
Computer Technology
Computer Applications
Computer Science
Business Maths and Statistics
Commerce
Economics
Maths
Chemistry
Physics
Computer Technology
History
Accountancy
Tamil
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