## Differential Equation Quiz-9

As per analysis for previous years, it has been observed that students preparing for JEE MAINS find Mathematics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Mathematics due to their ENGINEERING background.
Furthermore, sections such as Mathematics are dominantly based on theories, laws, numerical in comparison to a section of Engineering which is more of fact-based, Physics, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced.

Q1. The differential equation of the curve for which the initial ordinate of any tangent is equal to the
corresponding subnormal, is
•  Non-linear
•  Homogeneous
•  In variable separable form
•  None of the above
Solution

Q2.The order and degree of the differential equation  are
•  1 and 1⁄2
•  2 and 1
•  1 and 1
•  1 and 2
Solution

Q3.  The differential equation of the rectangular hyperbola whose axes are the asymptotes of the
hyperbola, is
•  y.dy/dx=x
•  x.dy/dx=-y
•  x.dy/dx=y
•  x.dy+y.dx=c
Solution

Q4. The differential equation of family of curves , is
•
•
•
•  None of these
Solution

Q5.The general solution of the differential equation is
•
•
•
•
Solution

Q6. The equation of one of the curves whose slope at any point is equal to y+2x is
•
•
•
•
Solution

Q7.The equation of the curve in which subnormal varies as the square of the ordinate is ( Î» is constant of
proportionality)
•
•
•
•
Solution

Q8.The general solution of is
•
•
•
•
Solution

Q9.The differential equation of all coaxial parabola , where a and b are arbitrary
constants, is
•
•
•
•
Solution

Q10. The order and degree of the differential equation are respectively
•  (2,5)
•  (3,2)
•  (1,3)
• (2,3)
Solution

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