Differential Equation questions
503 published questions with worked solutions.
- What is the curve which passes through the point (1, 1) and whose slope is 2y x ?
- If x ,dy=y ,dx+y^2 ,dy, y>0 and y(1)=1, then what is y(-3) equal to?
- What is the order of the differential equation dx dy + y ,dx=x^3?
- Which one of the following differential equations represents the family of straight lines which are at unit distance from the...
- If x ,dy=y(dx+y ,dy); y(1)=1 and y(x)>0, then what is y(-3) equal to?
- What are the degree and order respectively of the differential equation y=x ( dy dx )^2+ ( dx dy )^2?
- What is the differential equation corresponding to y^2-2ay+x^2=a^2 by eliminating a? (where p= dy dx )
- What is the general solution of the differential equation y ,dx-(x+2y^2) ,dy=0?
- What is the solution of the differential equation ( dy dx )-a=0?
- The general solution of dy dx = ax+h by+k represents a circle only when
- The order and degree of the differential equation [1+ ( dy dx )^2 ]^3= ^2 [ d^2y dx^2 ]^2 are respectively
- The differential equation of minimum order by eliminating the arbitrary constants A and C in the equation y=A[ (x+C)+ (x+C)] is
- The solution of the differential equation dy dx = y '(x)-y^2 (x) is
- What is the solution of the differential equation x ,dy-y ,dx=0?
- Which one of the following differential equations has a periodic solution? (where >0)
- The order and degree of the differential equation y^2=4a(x-a), where 'a' is an arbitrary constant, are respectively
- What is the solution of (1+2x) ,dy-(1-2y) ,dx=0?
- What are the order and degree, respectively, of the differential equation ( d^3y dx^3 )^2=y^4+ ( dy dx )^5?
- The differential equation of the family of curves y=p (ax)+q (ax), where p, q are arbitrary constants, is
- The equation of the curve passing through the point (-1, -2) which satisfies dy dx =-x^2- 1 x^3 , is
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