NCERT Solutions for Class 12 Chapter 9 Differential Equations Exercise 9.1 Solutions

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Class 12 Maths NCERT Solutions Chapter 9 Differential Equations Exercise 9.1 is provided in the article. Class 12 Chapter 9 Differential Equations Exercises include questions on Order and Degree of Differential Equations, Formation of Differential Equation, Methods of Solving First Order, First Degree Differential Equations.

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CBSE CLASS XII Related Questions

  • 1.

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


      • 2.

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

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

        • 3.

          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 :

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

          • 4.

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


              • 5.

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

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


                  • 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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