NCERT Solutions for Differential Equations Exercise 9.4 Solutions

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Class 12 Maths NCERT Solutions Chapter 9 Differential Equations Exercise 9.4 is provided in the article. Class 12 Chapter 9 Differential Equations Exercises provided in the chapter are based on solving first order, first-degree differential equations with variables separable. 

Download PDF: NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4

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CBSE CLASS XII Related Questions

  • 1.
    Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).


      • 2.

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


          • 3.
            Find:

            The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]


              • 4.

                A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length. 


                  • 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.

                      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 :

                        CBSE CLASS XII Previous Year Papers

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