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.

    Find the sum of maximum and minimum values of \(f(x) = \sin x\,(1 + \cos x)\) in the interval \([0, \pi]\).


      • 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.

            If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that

            \[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]


              • 4.

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

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

                • 5.

                  Evaluate :

                  \[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]


                    • 6.

                      If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

                        • \(0.35\)
                        • \(0.85\)
                        • \(0.5\)
                        • \(0.21\)
                      CBSE CLASS XII Previous Year Papers

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