Differential Equation questions
503 published questions with worked solutions.
- The equation of a curve passing through (1, 0) and having slope of tangent at any point (x, y) of the curve as y-1 x^2+x is
- The differential equation which represents the family of curves y=C_1e^ c_2x , where C_1, c_2 are arbitrary constants is
- The population p of the city at time t is given by dp dt = p2-100. If initial population is 100 then p=
- The solution of the equation dy dx = 1 x+y+1 is
- The solution of ( dy dx )=2x-5y, y(0)=0 is
- The integrating factor of the differential equation x dy dx +y x=xe^ x x^ -1 2 x (x>0) is
- Let y(x) be a solution of (2 + x) (1 + y) dy dx = x. If y(0) = 2, then y ( 2 ) equals
- Statement 1: The degrees of the differential equations dy dx + y^2 = x and d^2y dx^2 + y = x are equal. Statement 2: The degree...
- The general solution of the differential equation dy dx + 2xy = x^2 is
- The integrating factor of the differential equation (x^2 - 1) dy dx + 2xy = x is
- Consider the differential equation : dy dx = y^3 2(xy^2 - x^2) Statement-1: The substitution z = y^2 transforms the above...
- The equation of the curve passing through the origin and satisfying the differential equation (1 + x^2 ) dy dx + 2xy = 4x^2 is
- If the differential equation representing the family of all circles touching x-axis at the origin is (x^2 - y^2 ) dy dx = g(x)y,...
- If the general solution of the differential equation y' = yx + ( xy ), for some function Φ, is given by y |cx| = x, where c is an...
- The general solution of the differential equation, 2x ( dy dx - x ) - y = 0, is :
- If dy dx + y x = 2x and y(0) = 1, then y( ) is equal to
- Let y:(- , ) (0, ) be the solution of the differential equation dy dx = e^ 5x y^3+y^3 e^x+e^x y^4 , satisfying y(0)= 1 2 . Then...
- Let y=f(x) be the real valued function defined on the interval (0, ), satisfying y(1)=0 and the differential equation x , dy dx...
- The order of the differential equation d^2y dx^2 - ( dy dx )^2=1 is
- The degree of the differential equation 1+ ( dy dx )^2 =x^2 is
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