## Differential Equation Quiz-6

Dear Readers, 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 problemarises 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. Solution of differential equation secx dy−cosecy dx=0 is
•  cosx+siny=c
•  cosy-sinx=c
•  sinx+cosy=c
•  siny-cosx=c
Solution

Q2.The solution of the differential equation  is
•
•
•
•
Solution

Q3.  The differential equation which represents the family of plane curves =exp(cx) is
•  y'=cy
•  xy'-logy=0
•  xlogy=yy'
•  ylogy=xy'
Solution
ylogy=xy'

Q4. The order and degree of the differential equation
are
•  2,2
•  2,1
•  1,2
•  2,3
Solution

Q5.The solution of is
•
•
•
•
Solution

Q6. The solution of is
•
•
•
•
Solution

Q7.The differential equation satisfied by the family of curves where , are
parameters is
•
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•
Solution

Q8.The family of curves , where a is an arbitrary constant, is represented by the
differential equation
•
•
•
•
Solution

Q9.An integrating factor of the differential equation is
•  log x
•  x
•
•  1/x
Solution

Q10. The equation of the curve satisfying the differential equation  passing through the point (0,1) and having slope of tangent at x=0 as 3 is
•
•
•
•
Solution

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