MP Board Class 12 (MPBSE) Differential Equations — practice questions — page 2

Explore 32 free Differential Equations questions in MP Board Class 12 (MPBSE) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Differential Equations questions and exercises with answers

Showing questions 31–32 of 32.

Which belongs to which idea?Read the answer and worked solution →True or false: what a solution isRead the answer and worked solution →

Worked practice questions

Which belongs to which idea?

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Items

Item
y terms with dy, x terms with dx
Category
Separable
Item
Variables split completely
Category
Separable
Item
f(x, y) of degree zero
Category
Homogeneous
Item
Solved by a substitution in y/x
Category
Homogeneous
Item
dy/dx + Py = Q
Category
Linear
Item
P and Q depend on x only
Category
Linear

Categories

Item
Separable
Item
Homogeneous
Item
Linear

Three ideas that share vocabulary. Source: syllabus Maths Part II, Ch 9 Differential Equations.

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True or false: what a solution is

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Questions

Statement is true
Yes
Statement
A solution is a function that satisfies the equation.
Statement is true
Yes
Statement
A general solution describes a family of solutions.
Statement is true
Yes
Statement
A particular solution is obtained from a given condition.
Statement is true
No
Statement
A solution must be a polynomial.
Statement is true
No
Statement
An equation can have only one solution.

The definition is simpler than people expect, and that is the point. Source: syllabus Maths Part II, Ch 9 Differential Equations.