Differential Equation questions
503 published questions with worked solutions.
- The general solution of the differential equation dy dx = y+ x^2-y^2 x is
- Integrating factor of the differential equation dy dx + y = 1+y x is
- The population of a town increases at a rate proportional to the population at that time. If the population increases from 40...
- The curve satisfying the differential equation y ,dx- (x+3y^2 )dy=0 and passing through the point (1, 1) also passes through the...
- The general solution of the differential equation dy dx + ( 3x^2 1 + x^3 )y = 1 x^3 + 1 is
- In a certain culture of bacteria, the rate of increase is proportional to the number of bacteria present at that instant. It is...
- The differential equation of all circles, passing through the origin and having their centers on the X-axis, is
- The population P = P(t) at time t of certain species follows the differential equation dp dt =0.5P-450. If P(0) = 850, then the...
- The differential equation dy dx = 1-y^2 y determines a family of circles with
- General solution of the differential equation x ,(1+ y)dx- y ,(1+ x)dy=0 is
- The order of the differential equation, whose solution is y=(C_1+C_2)e^x+C_3e^ x+C_4 , is
- The general solution of the differential equation dy dx = 3e^ 2x +3e^ 4x e^x+e^ -x is
- If x dy dx -y x=6x, 0<x< 2 , then general solution of the differential equation is
- The general solution of dy dx = x+y+1 x+y-1 is
- The particular solution of ( dy dx )=3x+4y at x = y = 0 is
- The solution of the differential equation (1+e^ -x )(1+y^2) dy dx =y^2 which passes through the point (0, 1) is
- These assets of a person are increasing at a rate proportional to the square root of the assets at a given time. His assets...
- The solution of the differential equation (1 + x)y ,dx + (1 - y)x ,dy = 0 is
- The particular solution of y x dy dx = 1 + y^2 1 + x^2 when x = 2, y = 1 is
- The solution of the differential equation x dy dx +y=x^3y^6, is ...
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