NCERT Solutions for Class 12 Chapter 9 Differential Equations Exercise 9.1 Solutions

Collegedunia Team logo

Collegedunia Team

Content Curator

Class 12 Maths NCERT Solutions Chapter 9 Differential Equations Exercise 9.1 is provided in the article. Class 12 Chapter 9 Differential Equations Exercises include questions on Order and Degree of Differential Equations, Formation of Differential Equation, Methods of Solving First Order, First Degree Differential Equations.

Download PDF: NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.1

Read More: NCERT Solutions For Class 12 Mathematics Chapter 9 Differential Equations 

Also check other Exercise Solutions of Class 12 Maths Chapter 9 Differential Equations

Also Read:

CBSE CLASS XII Related Questions

  • 1.
    Find:

    If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).

      • \(p = -\frac{2}{3}, \, q = \frac{5}{3}\)
      • \(p = -\frac{8}{3}, \, q = \frac{20}{3}\)
      • \(p = \frac{20}{3}, \, q = -\frac{8}{3}\)
      • \(p = 0, \, q = 0\)

    • 2.
      Which of the following equations is NOT a Linear Differential Equation?

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

      • 3.
        Find:

        The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:

          • \(-\frac{\pi}{2}\)
          • \(-\frac{\pi}{4}\)
          • \(\frac{\pi}{4}\)
          • \(\frac{\pi}{2}\)

        • 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.

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


                • 6.
                  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 \( x = 2 \).

                    CBSE CLASS XII Previous Year Papers

                    Comments


                    No Comments To Show