Class 12 Maths Practice Test - Linear Second Order Differential Equations | Practice Test / Quiz / MCQs

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Class 12 Maths Practice Test - Linear Second Order Differential Equations

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Related Test: Class 12 Maths Practice Test - Linear First Order Differential Equations

Class 12 Maths Practice Test - Linear Second Order Differential Equations

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1. If, A and B are arbitrary constants then what will be the differential equation of y = Ax + B/x?

2. What is thedifferential equation whose solution represents the family y = ae^3x + be^x?

3. What is the differential equation of all parabolas whose directrices are parallel to the x-axis?

4. Which of the following is the valid differential equation x = a cos(αt + β)?

5. Which one of the following is correct if we differentiate the equation xy = ae^x + be^-x two times?

6. What will be the required solution of d²y/dx² – 3dy/dx + 4y = 0?

7. If, A and B are arbitrary constants then what will be the differential equation of y = Ax + B/x?

8. Which one of the following is correct if we differentiate the equation xy = ae^x + be^-x two times?

9. What is thedifferential equation whose solution represents the family y = ae^3x + be^x?

10. What will be the general solution of the differential equation d²y/dx² = e^2x(12 cos3x – 5 sin3x)? (here, A and B are integration constant)

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