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  1. Chemical properties of a substance change and Physical properties of a substance change. https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-2/

    Chemical properties of a substance change and Physical properties of a substance change.

    https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-2/

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  2. We are given that A is a square matrix of order 3 and |A| = -4. We are asked to find the value of |adj(A)|. The formula for the determinant of the adjugate matrix adj(A) for a square matrix A of order n is |adj(A)| = |A|^(n-1) For a matrix of order 3, n = 3. Hence, the above formula becomes |adj(A)|Read more

    We are given that A is a square matrix of order 3 and |A| = -4. We are asked to find the value of |adj(A)|.
    The formula for the determinant of the adjugate matrix adj(A) for a square matrix A of order n is
    |adj(A)| = |A|^(n-1)
    For a matrix of order 3, n = 3. Hence, the above formula becomes
    |adj(A)| = |A|^(3-1) = |A|²
    We know that |A| = -4. So,

    |adj(A)| = (-4)² = 16

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    https://www.tiwariacademy.com/ncert-solutions/class-12/maths/#chapter-4

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  3. The differential equation given is: sin(x) + cos(dy/dx) = y² To know the degree of the differential equation, we have the following steps: 1. Rearrange the formula: The formula contains dy/dx that is not raised to any power directly. However, with the term cos(dy/dx) the degree calculation is compliRead more

    The differential equation given is:

    sin(x) + cos(dy/dx) = y²

    To know the degree of the differential equation, we have the following steps:
    1. Rearrange the formula: The formula contains dy/dx that is not raised to any power directly. However, with the term cos(dy/dx) the degree calculation is complicated since it deals with a trigonometric function of the derivative.

    2. Degree of a differential equation: The degree of a differential equation is defined to be the highest power of the highest-order derivative after the equation has been made free from any irrational terms, fractional powers, or trigonometric functions involving derivatives.

    3. This equation contains a trigonometric function, cos(dy/dx), whose argument is a first derivative, not an algebraic expression, not a polynomial, not a simple rational term. Since it’s placed within the argument of a trigonometric function, the degree is undefined.

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    https://www.tiwariacademy.com/ncert-solutions/class-12/maths/#chapter-9

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  4. The given differential equation is: y dx - x dy = 0 This is a first-order linear differential equation. We can rewrite it as: y dx = x dy Now, divide both sides by x and y: (dx/x) = (dy/y) This is a separable differential equation, meaning we can integrate both sides separately. Integrating both sidRead more

    The given differential equation is:

    y dx – x dy = 0

    This is a first-order linear differential equation. We can rewrite it as:

    y dx = x dy

    Now, divide both sides by x and y:

    (dx/x) = (dy/y)

    This is a separable differential equation, meaning we can integrate both sides separately.

    Integrating both sides:

    ∫(1/x) dx = ∫(1/y) dy

    The integrals of 1/x and 1/y are:

    ln|x| = ln|y| + C

    Now, take both sides as exponents to get rid of the logarithms:

    x = C y

    Therefore, the general solution is:

    y = cx

    where c is a constant.

    So, the right answer is y = cx.

    Click for more:
    https://www.tiwariacademy.com/ncert-solutions/class-12/maths/#chapter-4

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