Differential Equation questions
503 published questions with worked solutions.
- The differential equation of the family of all parabolas whose axis is the y-axis is ...
- The rate of disintegration of a radioactive element at any time is proportional to its mass at that time, where k (k>0) is the...
- The general solution of the differential equation x x dy dx +(x x+ x)y= x is
- The equation of the curve whose slope is y-1 x^2+x and passes through the point (1, 0) is
- The differential equation of all straight lines passing through the point (1, -1) is
- The solution dy dx = (x + y)^2 is
- The order and degree of differential equation of all tangent lines to the parabola x^2 = 4y is respectively.
- If y=y(x) satisfies ( 2+ x 1+y ) dy dx =- x such that y(0)=2, then y ( 2 ) is equal to
- The solution of the differential equation x d^2y dx^2 =1 at x=y=1 with dy dx =0 at x=1, is
- The solution of the differential equation dy dx = (x+y) is ...
- If the solution of the differential equation (1+x^ 3 ) dy dx +6x^ 2 y=1+x^ 2 is y= 1 (1+x^ 3 )^ s [x+ x^ p p + x^ q q + x^ r r +c...
- The differential equation of all lines where the length of the normal from the origin is p and the inclination of the normal is...
- The solution of the differential equation dy dx = a+bx c+dy represents a family of circles centered at the origin if …
- The solution of the differential equation dy dx = x-y x+y , when x=0 and y=0 represents…
- If the differential equation dy dx + x y = a y where a is constant, represents a family of circles then the radius of the circle...
- The particular solution of the differential equation ( dy dx ) = 7, y = 1 at x = 0 is
- The solution of (1+y^2) + (x - e^ ^ -1 y ) dy dx = 0 is
- The rate of reduction of a persons assets is proportional to the square root of the existing assets. The assets reduced from 25...
- The general solution of x(x-1) dy dx = x^3(2x-1) + (x-2)y is
- The sum of the degree and order of the differential equation d^2y dx^2 = [5] dy dx - 5 is
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