NCERT Solutions for Differential Equations Exercise 9.2 Solutions

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Class 12 Maths NCERT Solutions Chapter 9 Differential Equations Exercise 9.2 is provided in the article. Class 12 Chapter 9 Differential Equations Exercises include questions on Order and Degree of Differential Equations.

Download PDF: NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.2

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

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CBSE CLASS XII Related Questions

  • 1.
    Obtain the value of \[ \Delta = \begin{vmatrix} 1 + x & 1 & 1 \\ 1 & 1 + y & 1 \\ 1 & 1 & 1 + z \end{vmatrix} \] in terms of \(x, y, z\). Further, if \(\Delta = 0\) and \(x, y, z\) are non–zero real numbers, prove that \[ x^{-1} + y^{-1} + z^{-1} = -1 \]


      • 2.

        Sports car racing is a form of motorsport which uses sports car prototypes. The competition is held on special tracks designed in various shapes. The equation of one such track is given as 

        (i) Find \(f'(x)\) for \(0<x>3\). 
        (ii) Find \(f'(4)\). 
        (iii)(a) Test for continuity of \(f(x)\) at \(x=3\). 
        OR 
        (iii)(b) Test for differentiability of \(f(x)\) at \(x=3\). 
         


          • 3.
            Find the general solution of the differential equation \[ y\log y\,\frac{dx}{dy}+x=\frac{2}{y}. \]


              • 4.
                Mother, Father and Son line up at random for a family picture. Let events \(E\): Son on one end and \(F\): Father in the middle. Find \(P(E/F)\).


                  • 5.
                    Find : \[ \int \frac{2x+1}{\sqrt{x^2+6x}}\,dx \]


                      • 6.

                        A rectangle of perimeter \(24\) cm is revolved along one of its sides to sweep out a cylinder of maximum volume. Find the dimensions of the rectangle. 

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