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. 

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CBSE CLASS XII Related Questions

  • 1.

    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

    \[ 2x + y \geq 8 \]

    \[ x + 2y \geq 10 \]

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


      • 2.

        Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).


          • 3.

            Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

              • \( -2\sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
              • \( \sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
              • \( \frac{2\sqrt{\cos x}}{\sin x} \)
              • \( \frac{1}{\sin x\sqrt{\cos x}} \)

            • 4.

              Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).


                • 5.

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


                    • 6.

                      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

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

                        CBSE CLASS XII Previous Year Papers

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