Differential Equation questions
503 published questions with worked solutions.
- Let the solution curve y = y(x) of the differential equation dy dx - 3x^5 ^ -1 (x^3) (1+x^6)^ 3/2 y=2x x^3- ^ -1 x^3 1+x^6 pass...
- Let y = y(x) be the solution of the differential equation (3y^2-5x^2)ydx+2x(x^2-y^2)dy=0 such that y(1) = 1. Then...
- The differential equation dy dx = 1 - y^2 y determines a family of circles with
- Let a solution y = y(x) of the differential equation x x^2 - 1 ,dy - y y^2 - 1 ,dx = 0 satisfy y(2) = 2 3 . STATEMENT-1 : y(x) =...
- The order and degree of the differential equation (1 + 3 dy dx )^ 2/3 = 4 d^3y dx^3 are
- The solution of the equation d^2y dx^2 = e^ -2x
- The degree and order of the differential equation of the family of all parabolas whose axis is X-axis, are respectively.
- The solution of the differential equation (1 + y^2 ) + (x - e^ ^ -1 y ) dy dx = 0, is
- The differential equation for the family of curves x^2 + y^2 - 2ay = 0, where a is an arbitrary constant is
- The solution of the differential equation ydx + (x + x^2y )dy = 0 is
- The differential equation representing the family of curves y^2 = 2c(x + c), where c > 0, is a parameter, is of order and degree...
- If x dy dx = y( y - x + 1), then the solution of the equation is
- The differential equation whose solution is Ax^2 + By^2 = 1, where A and B are arbitrary constants is of
- The differential equation of all circles passing through the origin and having their centres on the x-axis is
- The solution of the differential equation dy dx = x + y x satisfying the condition y(1) = 1 is
- The differential equation of the family of circles with fixed radius 5 units and centre on the line y = 2 is
- The differential equation which represents the family of curves y = c_1e^ c_2x , where c_1 and c_2 are arbitrary constants is
- Solution of the differential equation x ,dy = y( x - y)dx, 0 < x < 2 is
- If dy dx = y + 3 > 0 and y(0) = 2, then y(ln 2) is equal to
- Let I be the purchase value of an equipment and V(t) be the value after it has been used for t years. The value V(t) depreciates...
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