NCERT Solutions for Class 12 Chapter 9 Differential Equations Exercise 9.5 Solutions

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Class 12 Maths NCERT Solutions Chapter 9 Differential Equations Exercise 9.5 is provided in the article. Class 12 Chapter 9 Differential Equations Exercises provided in the chapter are based on Homogeneous Differential Equations.

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CBSE CLASS XII Related Questions

  • 1.

    The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

      • \( -6 \) unit/sec
      • \( 0 \) unit/sec
      • \( 18 \) unit/sec
      • \( 6 \) unit/sec

    • 2.

      Solve the differential equation \( y + \frac{d}{dx}(xy) = x(\sin x + \log x) \).


        • 3.

          Find the value of \(x\) if \(A = B\), where

          \[ A = \begin{bmatrix} 6 & 3x \\ 8 & -6 \end{bmatrix} \text{ and } B = \begin{bmatrix} 6 & x^2+2 \\ 8 & x^2-5x \end{bmatrix}. \]


            • 4.

              The value of \( \left[ \tan^{-1}(-1) + \cos^{-1}\left(-\frac{1}{2}\right) + \sin^{-1}\left(\frac{1}{2}\right) \right] \) is :

                • \( \frac{7\pi}{12} \)
                • \( \frac{5\pi}{12} \)
                • \( -\frac{5\pi}{12} \)
                • \( \frac{\pi}{3} \)

              • 5.

                For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :

                Minimize \(Z = 18x + 10y\)

                subject to constraints

                \[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]


                  • 6.

                    For the given Linear Programming Problem, shade the feasible region on the graph and write the coordinates of the corner points.

                    Minimize \(Z = 5x + 7y\)

                    subject to constraints

                    \[ 2x + y \geq 8 \]

                    \[ x + 2y \geq 10 \]

                    \[ x,\ y \geq 0. \]

                      CBSE CLASS XII Previous Year Papers

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