Differential Equation Quiz-10

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 equation of the curve whose tangent at any point (x,y) makes an angle with x-axis and which passes through (1,2) is
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Solution

Q2.The solution of the equation  is
•  y=c(x+a)(1−ay)
•  y=c(x+a)(1+ay)
•  y=c(x-a)(1+ay)
•  None of these
Solution

Q3.  The solution of the differential equation is
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Solution

Q4. A function y=f(x) has a second order derivative y"=6(x−1). If its graph passes through the point (2,1) and at point the tangent to the graph is y=3x−5 then the function is
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Solution

Q5.The solution of , where = √2, when x=Ï€/4 is
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•  None of the above
Solution

Q6. The differential equation of the family of ellipse having major and minor axes respectively along
the x and y-axes and the minor axis is equal to half of the major axis, is
•  xy'−4y=0
•  4xy'+y=0
•  4yy'+x=0
•  yy'+4x=0
Solution

Q7.The order and degree of the differential equation are
•  (1,2/3)
•  (3,1)
•  (3,3)
•  (1,2)
Solution

Q8.The order of the differential equation , is
•  2
•  1
•  3
•  4
Solution

Q9.The solution of is
•  y.secx=tanx+c
•  y.tanx=secx+c
•  tanx=y.tanx+c
•  x.secx=tany+c
Solution

Hence, required solution is

Q10. The solution of the differential equation  is
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•  None of these
Solution

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