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. 

Download PDF: NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4

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

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CBSE CLASS XII Related Questions

  • 1.

    Evaluate :

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


      • 2.

        For events A and B, if \(P(B)=\frac{3}{5}\), \(P(A/B)=\frac{1}{2}\) and \(P(A\cup B)=\frac{4}{5}\), then \(P(A)\) is :

          • \(\frac{1}{2}\)
          • \(\frac{3}{5}\)
          • \(\frac{1}{5}\)
          • \(\frac{3}{10}\)

        • 3.

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


            • 4.

              \( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

                • \( \log \cos 2x + C \)
                • \( \sec^{2} 2x + C \)
                • \( e^{x}\tan x + C \)
                • \( e^{x}\cot x + C \)

              • 5.

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


                  • 6.

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

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