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BIHAR CET Differential Equations — practice questions — page 3

Explore 73 free Differential Equations questions in BIHAR CET 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 61–73 of 73.

True or false: methods of solutionRead the answer and worked solution →Order, degree, or neither?Read the answer and worked solution →Counting arbitrary constantsRead the answer and worked solution →Match each term to its meaningRead the answer and worked solution →Flip and pair: form with nameRead the answer and worked solution →Order the reasoning: from equation to particular solutionRead the answer and worked solution →True or false: the Historical NoteRead the answer and worked solution →Tap every equation type the chapter coversRead the answer and worked solution →Spot the odd one outRead the answer and worked solution →Assertion and reason: forms and methodsRead the answer and worked solution →Reading definitions backRead the answer and worked solution →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

True or false: methods of solution

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Questions
  1. Statement is true
    Yes
    Statement
    Variable separable needs the x and y terms to split completely.
  2. Statement is true
    Yes
    Statement
    A first order linear equation has the form dy/dx + Py = Q.
  3. Statement is true
    No
    Statement
    In that form, P and Q may be functions of y.
  4. Statement is true
    Yes
    Statement
    A homogeneous differential equation involves functions homogeneous of degree zero.
  5. Statement is true
    No
    Statement
    Every equation is separable.
Which method applies, and when. Source: syllabus Maths Part II, Ch 9 Differential Equations.

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Order, degree, or neither?

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Items
  1. Item
    Order of the highest derivative present
    Category
    Order
  2. Item
    Tells you how many arbitrary constants to expect
    Category
    Order
  3. Item
    Highest power of the highest order derivative
    Category
    Degree
  4. Item
    Needs the equation to be polynomial in derivatives
    Category
    Degree
  5. Item
    The function that satisfies the equation
    Category
    Neither
Categories
  1. Item
    Order
  2. Item
    Degree
  3. Item
    Neither
Sorting the descriptions by which property they name. Source: syllabus Maths Part II, Ch 9 Differential Equations.

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Counting arbitrary constants

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Questions
  1. Question
    A first order equation's general solution carries
    Choices
    1. two
    2. none
    3. one arbitrary constant
    Correct choice
    one arbitrary constant
  2. Question
    A second order equation's general solution carries
    Choices
    1. two arbitrary constants
    2. one
    3. none
    Correct choice
    two arbitrary constants
  3. Question
    A particular solution carries
    Choices
    1. one
    2. no arbitrary constants
    3. as many as the order
    Correct choice
    no arbitrary constants
The order fixes how many constants a general solution carries. Source: syllabus Maths Part II, Ch 9 Differential Equations.

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