Differential Equation MCQs 01

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

5. A homogeneous DE always

 
 
 
 

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

 
 
 
 

7. If n is the degree of given DE then

 
 
 
 

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

choose the odd are out.

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

16. Differential Equation of 1st degree

 
 
 
 

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

 
 
 
 

18. A primitive of ODE is

 
 
 
 

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