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Order of highest derivative occurring in the differential equation is called the …………… of the differential equation.

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Knowledge Check

  • The second order differential equation is

    A
    `(y')^(2) = y^(2) - x`
    B
    y'y'' + y = sin x
    C
    `y''' + y'' + y = 0`
    D
    y' = y
  • Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as Assertion (A): The order of the differential equation given by (dy)/(dx)+4y=sinx is 1. Reason (R): Since the order of a differential equation is defined as the order of the highest derivative occurring in the differential equation, i.e., for nth derivative (d^ny)/(dx^n) if n = 1.then it's order = 1. Given differential equation contains only (dy)/(dx) derivative with variables and constants.

    A
    Both A and R are true and R is the correct explanation of A
    B
    Both A and R are true but R is NOT the correct explanation of A
    C
    A is true but R is false
    D
    A is false but R is True
  • Consider the following statements in respect of the differential equation (d^(2)y)/(dx^(2)) + cos ((dy)/(dx))=0 1. The degree of the differential equation is not defined. 2. The order of the differential equation is 2.

    A
    1 only
    B
    2 only
    C
    Both 1 and 2
    D
    Neither 1 nor 2
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    The power of higher ordered derivative when all the derivatives are made free from negative and / or fractional indices if any is called ………….. of the differential equation.

    The order of the differential equation y'' + y^2+e^y'=0 is