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.
    If \[ \frac{d}{dx}(F(x))=\frac{1}{e^x+1}, \] then find \(F(x)\), given that \[ F(0)=\log\left(\frac{1}{2}\right). \]


      • 2.

        Find the domain of \[ q(x)=\cos^{-1}(4x^2-3). \] Hence, find the value of \(x\) for which \[ q(x)=0. \] Also, write the range of \[ 3q(x)-\pi. \] 


          • 3.
            In a school, the probability of holding a debate competition is \( \frac{1}{3} \) and that of a quiz competition is \( \frac{2}{3} \). In the two participating teams, A has 4 girls and 6 boys and B has 7 girls and 3 boys. If a debate competition is held, the students are selected from team A and for the quiz competition they are selected from team B. If only two students are to be chosen from the teams, then find the probability that one will be a girl and the other a boy.


              • 4.
                For a square matrix \(A\), \[ (3A)^{-1}= \]

                  • \( 3A^{-1} \)
                  • \( 9A^{-1} \)
                  • \( \frac{1}{3} A^{-1} \)
                  • \( \frac{1}{9} A^{-1} \)

                • 5.
                  For \[ f(x)=x+\frac{1}{x}, \quad x\neq 0. \]

                    • local maximum value is 2
                    • local minimum value is \( -2 \)
                    • local maximum value is \( -2 \)
                    • local minimum value \( < \) local maximum value

                  • 6.

                    The domain of \[ f(x)=\cos^{-1}(2x-5) \] is: 

                      • \([-1, 1]\)
                      • \([4, 6]\)
                      • \([-7, -3]\)
                      • \([2, 3]\)
                    CBSE CLASS XII Previous Year Papers

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