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

 
 
 
 

2. If n is the degree of given DE then

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

6. Differential Equation of 1st degree

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

11. A homogeneous DE always

 
 
 
 

12. A primitive of ODE is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

choose the odd are out.

 
 
 
 

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