Differential Equation questions
503 published questions with worked solutions.
- If y=y(x) is the solution of the differential equation ( 5+e^x 2+y ) dy dx +e^x=0 satisfying y(0)=1, then a value of y( 13) is
- The solution of the differential equation dy dx =(x-y)^2 when y(1) = 1 is
- If x dy dx =y( y- x+1) then general solution of this equation is
- The general solution of the differential equation x y ,dy = (xe^x x + e^x )dx is given by
- If order and degree of the differential equation ( d^2y dx^2 )^5 + 4 ( d^2y dx^2 )^5 ( d^3y dx^3 ) + d^3y dx^3 = x, are m and n...
- The differential equation of family of circles whose centres are on the X-axis and also touch the Y-axis is
- The differential equation [ 1+ ( dy dx )^2 ( d^2y dx^2 ) ]^ 32 =kx is of
- The general solution of the differential equation 1 x dy dx = ^ -1 x is
- The differential equation obtained by eliminating arbitrary constant from the equation y^2 = (x + c)^3 is
- The decay rate of radium is proportional to the amount present at any time t. If initially 60 gms was present and half life...
- The particular solution of differential equation (1 + y^2 ) (1 + x )dx + x ,dy = 0 at x = 1, y = 1 is
- A wet substance in the open air loses its moisture at a rate proportional to the moisture content. If a sheet hung in the open...
- The differential equation x^2(y+1)dx+y^2(x-1)=0 has the general solution given by (where C is a constant of integration)
- The particular solution of dy dx =1+x+y^2+xy^2, when y(0)=0 is
- The general solution of differential equation x ,dy-y ,dx=0 represents the circle whose centre is at the origin
- The order and degree of the differential equation (1+ dy dx )^ 13 = d^2y dx^2 are respectively
- The particular solution of the differential equation (2x-2y+3)dx-(x-y+1)dy=0 when x=0, y=1 is
- The differential equation y'= y x+ xy has general solution given by (where C is a constant of integration)
- The differential equation whose solution is y=c^2+ cx, where c is a constant, is
- The general solution of the differential equation dy dx =1-x+y-xy is (where C is a constant of integration)
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