Differential Equation questions
503 published questions with worked solutions.
- The differential equation of the family of curves y=e^ x (A x+B x), where A,B are arbitrary constants, has the degree n and order...
- The general solution of a differential equation is y=ae^ bx+c where a,b,c are arbitrary constants. The order of the differential...
- The general solution of a differential equation is (y+c)^2=cx where c is an arbitrary constant. The order and degree of the...
- The degree and order of the differential equation of the family of all parabolas whose axis is the x-axis, are respectively
- The order and degree of the differential equation of the family of circles touching the x-axis at the origin, are respectively
- The order and degree of the differential equation of the family of ellipses having the same foci, are respectively
- If y(t) is a solution of the equation (1+t) dy dt -ty=1 and y(0)=-1 then y(1) is
- The solution of (x+ y) ,dy+y ,dx=0 when y(0)=1 is
- The general solution of the equation (1+y^2)+ (x-e^ ^ -1 y ) dy dx =0 is
- The differential equation (x) ,dy=y '(x)-y ,dx is changed in the form df(x,y)=0. Then f(x,y) is
- The solution of primitive integral equation (x^2+y^2) ,dy=xy dx is y=y(x). If y(1)=1 and y(x_0)=e then x_0 is
- If y is a function of x given by y ,dx+y^2dy=x ,dy where y>0 and y(1)=1 then y(-3) is
- In each question, match every entry of Column I with the correct entry of Column II. (An entry of Column II may be used more than...
- The general solution of the equation d^3y dx^3 - 7 d^2y dx^2 + 16 dy dx - 12y = 0 is
- y = (c_1 x + c_2 x) ,e^ -x + c_3e^ x is the general solution of the equation
- The general solution of the equation d^3y dx^3 + y = 0 is
- The order and degree of the differential equation of the family of circles with centres on the y-axis are respectively
- If the equation of a family of curves be y = a (x + b), where a, b are arbitrary constants, and y' = dy dx , y'' = d^2y dx^2 ,...
- The differential equation for the family of curves x^2 + y^2 - 2ay = 0, where a is an arbitrary constant, is
- The differential equation dy dx = 1 - y^2 y determines a family of circles with
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