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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

9. A homogeneous DE always

 
 
 
 

10. A primitive of ODE is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

13. If n is the degree of given DE then

 
 
 
 

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

 
 
 
 

15. Differential Equation of 1st degree

 
 
 
 

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

choose the odd are out.

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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