Differential Equation questions
503 published questions with worked solutions.
- The general solution of the differential equation x^ 2 +y^ 2 -2xy dy dx =0 is (where C is a constant of integration)
- The general solution of differential equation e^ 1 2 ( dy dx ) =3^ x is (where C is a constant of integration)
- For the differential equation [1- ( dy dx )^ 2 ]^ 3 =8 d^ 2 y dx^ 2 has the order and degree _____ respectively
- The particular solution of the differential equation dy dx -e^ x =ye^ x when x = 0 and y = 1 is
- The particular solution of the differential equation dy dx = e^ 2y x, when y ( 6 ) = 0 is
- The rate at which the population of a city increases varies as the population present. Within the period of 30 years, the...
- The general solution of differential equation dy dx = e^ x+y + x^2 e^ x^3+y is (where C is a constant of integration)
- General solution of the differential equation (y^3 + y)(x^2 + 1) ,dy = (xy^4 + 2y^2x) ,dx is (where C is constant of integration)
- The differential equation 2x dy dx - y = 1 represents a family of
- General solution of the differential equation ^ 3 x , dx dy is given by
- If y(x) and 2+ x y+1 ( dy dx )=- x, y(0)=1, then y ( 2 ) is equal to
- If (x^2+y^2) ,dy=xy ,dx, with y(x_0)=e, y(1)=1, then x_0 has the value
- If y=e^ 4x +2e^ -x satisfies the equation d^2y dx^2 +A dy dx +By=0, then the values of A and B are respectively
- The order and degree of a differential equation obtained by eliminating arbitrary constant C form the family of curve y^2 = 2C...
- The differential equation of family of lines, having x-intercept as a and y-intercept as b, is
- General solution of the differential equation ( dy dx ) = ax + by is
- The differential equation of all circles which pass through the origin and whose centres lie on Y-axis is
- The differential equation of all parabolas, whose axes are parallel to Y-axis is
- The particular solution of the differential equation (1+y^2)dx-xy ,dy=0 at x=1, y=0, represents
- A spherical raindrop evaporates at a rate proportional to its surface area. If originally its radius is 3mm and 1 hour later it...
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