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.
    Evaluate : \[ \int_{\frac{1}{12}}^{\frac{5}{12}} \frac{dx}{1+\sqrt{\cot x}} \]


      • 2.
        Evaluate : \[ \int_{-\frac{\pi}{6}}^{\frac{\pi}{3}}(\sin|x|+\cos|x|)\,dx \]


          • 3.

            Smoking increases the risk of lung problems. A study revealed that 170 in 1000 males who smoke develop lung complications, while 120 out of 1000 females who smoke develop lung related problems. In a colony, 50 people were found to be smokers of which 30 are males. A person is selected at random from these 50 people and tested for lung related problems. Based on the given information answer the following questions: 

            (i) What is the probability that selected person is a female? 
            (ii) If a male person is selected, what is the probability that he will not be suffering from lung problems? 
            (iii)(a) A person selected at random is detected with lung complications. Find the probability that selected person is a female. 
            OR 
            (iii)(b) A person selected at random is not having lung problems. Find the probability that the person is a male. 
             


              • 4.
                Find : \[ \int \frac{2x+1}{\sqrt{x^2+6x}}\,dx \]


                  • 5.
                    Find the general solution of the differential equation \[ y\log y\,\frac{dx}{dy}+x=\frac{2}{y}. \]


                      • 6.
                        Find the sub–interval of \((0,\pi)\) in which the function \[ f(x)=\tan^{-1}(\sin x-\cos x) \] is increasing and decreasing.

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