Differential Equation MCQs 01

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Master the core concepts of differential equations with this curated collection of frequently tested questions. Achieve peak performance in your mathematics assessments by focusing on these essential problems.

Differential Equation MCQs

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1. A particular solution of nth order differential Equation contains_____ arbitrary constants

 
 
 
 

2. A general solution of 3rd order differential Equation contains________ constants

 
 
 
 

3. The differential Equation \dpi{120} \small y''+y-e^y=0 is

 
 
 
 

4. The family of curves represented by DE xdx + ydy = 0 is that of

 
 
 
 

5. A general solution of 4th order DE contains__________ constants.

 
 
 
 

6. If n is the degree of given DE then

 
 
 
 

7. A general solution of nth order differential Equation contains_____ arbitrary constants

 
 
 
 

8. A primitive of ODE is

 
 
 
 

9. Infinitely many DE’s have same integrating factor.  The statement is

 
 
 
 

10. The function obtained after solving a DE is known as____

choose the odd are out.

 
 
 
 

11. For solving y” – y’ + 2y =0 with y(0)=0 , y(1)=0 is

 
 
 
 

12. Solving  X” + 6X’ +9X = 0 with X(0) = 2 and X'(0)=0 is

 
 
 
 

13. The degree of DE of all tangent lines to parabola \dpi{120} \small y^2=4ax is

 
 
 
 

14. The order of DE of ellipse whose major and minor axis are along x-axis and y-axis respectively is

 
 
 
 

15. The order of DE of family of circles touching a fixed straight line passing through origin is

 
 
 
 

16. Differential Equation of 1st degree

 
 
 
 

17. A homogeneous DE always

 
 
 
 

18. The differential Equation \dpi{120} \small y'+y=xy^3 may be called as linear equation of

 
 
 
 

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