Differential Equations - Online Test

Q1. General solution of  is
Answer : Option C
Explaination / Solution:


It is of the form of linear differential equation.hence the solution is y X  IF =

Q2. General solution of  is
Answer : Option B
Explaination / Solution:



Q3. General solution of 
Answer : Option C
Explaination / Solution:


Since 

Q4. General solution of  is
Answer : Option B
Explaination / Solution:


 Since

Q5. General solution of is
Answer : Option C
Explaination / Solution:



Q6. General solution of 
Answer : Option D
Explaination / Solution:



Q7. Find a particular solution of = 1; y =0 when x =2
Answer : Option A
Explaination / Solution:


Here y =0 when x =2


Hence 


Q8. Find a particular solution of when 
Answer : Option B
Explaination / Solution:



Q9. Find a particular solution of dydx=ytanx;y=1whenx=0
Answer : Option C
Explaination / Solution:



Q10.

For the differential equationfind the solution curve passing through the point (1, –1).


Answer : Option D
Explaination / Solution: