NCERT Solutions for Class 12 Chapter 9 Differential Equations Miscellaneous Exercises

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Class 12 Maths NCERT Solutions Chapter 9 Differential Equations Miscellaneous Exercises are provided in the article. Class 12 Chapter 9 Differential Equations Exercises cover miscellaneous questions from the entire chapter. 

The exercises are thus based on following concepts:

  • Introduction to Differential Equations
  • Basic Concepts of Differential Equation
  • General and Particular Solutions of a Differential Equation
  • Formation of a Differential Equation whose General Solution is given
  • Methods of Solving First Order, First Degree Differential Equations

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CBSE CLASS XII Related Questions

  • 1.
    A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

      • Reflexive only
      • Reflexive and Transitive
      • Symmetric and Transitive
      • Symmetric only

    • 2.

      An NGO organises a charity event in which they decide to distribute woollen caps to protect children from winter. The caps to be distributed are in three separate boxes, Box I has 30 red caps, Box II has 20 red and 10 green caps, and Box III has 30 green caps. The probability that a Box i is selected and a cap picked out is i/6, where i = 1, 2, 3.  
      Based on the above information, answer the following questions :


        • 3.

          Evaluate:
          \[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]


            • 4.
              Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]


                • 5.
                  Which of the following equations is NOT a Linear Differential Equation?

                    • \((1 + x^2) \, dy + 2xy \, dx = \cot x \, dx\)
                    • \(y + \frac{d}{dx}(xy) = x(\sin x + \log x)\)
                    • \(x(1 + y^2) \, dx - y(1 + x^2) \, dy = 0\)
                    • \(y \, dx - (x + 3y^2) \, dy = 0\)

                  • 6.
                    If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).

                      CBSE CLASS XII Previous Year Papers

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