Differential Equation questions
503 published questions with worked solutions.
- The rate of change of volume of spherical balloon at any instant is directly proportional to its surface area. If initially its...
- Solution of (2y-x) dy dx =1 is
- The integrating factor of y+ d dx (xy)=x( x+ x) is
- The differential equation whose solution is Ax^2+By^2=1 where A and B are arbitrary constants is of
- The rate at which a substance cools in moving air, is proportional to the difference between the temperature of the substance and...
- If x dy dx =y( y- x+1), then the solution of the equation is
- The order and degree of the differential equation dy dx -4 dy dx -7x=0 is respectively
- The differential equation of all circles touching the Y-axis at the origin and centre on the X-axis is
- The rate of increase of the population of a city is proportional to the population present at that instant. In the period of 40...
- The equation of the curve passing through origin and satisfying (1 + x^2) dy dx + 2xy = 4x^2 is
- The order of the differential equation whose general solution is given by y = (C_1 + C_2) (x + C_3) - C_4 e^ x + C_5 is (where...
- The general solution of differential equation (y^2 - x^2) ,dx = xy ,dy (x 0) is
- The solution of the equation x^2y-x^3 dy dx =y^4 x, where y(0) = 1, is
- y=e^x(A x+B x) is the solution of the differential equation
- The rate at which the population of a city increases varies as the population. In a period of 20 years, the population increased...
- The differential equation x dy dx =2y represents _____
- The equation of the curve passing through the point (0,2) given that the sum of the ordinate and abscissa of any point exceeds...
- The solution of the differential equation (1+x) dy dx - xy = 1 - x is
- The differential equation representing the family of parabolas having vertex at the origin and axis along the positive Y-axis is
- The general solution of the differential equation dy dx = x y is
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