Differential Equation questions
503 published questions with worked solutions.
- The solution of the differential equation dy dx =e^ x-y +x^2e^ -y is…
- The differential equation, having general solution as Ax^ 2 +By^ 2 =1, where A and B are arbitrary constants, is
- The differential equation of y=e^ x (a+bx+x^ 2 ) is
- The equation of the curve passing through the point (0,1) and having a slope of the tangent at point P(x,y) is equal to y x+y is
- For the differential equation d^3y dx^3 + ( d^2y dx^2 )=0, which of the following is true?
- The rate of reduction is proportional to the square root of a persons existing assets at that moment. If his assets at the...
- The solution of the differential equation (x+2y^3) dy dx -y=0 is
- The degree of the differential equation obtained from the equation (y-a)^2=4(x-b) [where a and b are arbitrary constants] is
- The slope of tangent at (x, y) to a curve passing through (1, 4 ) is y x - ^2 y x , then the equation of curve is
- The general solution of the differential equation dy dx = y x - y^2 x is
- Let y = y (x) be the solution of the differential equation (x x) dy dx +y=2x x (x 1) then y (e) is equal to
- The assets of a person are reduced in his business such that the rate of reduction is proportional to the square root of the...
- The general solution of the differential equations dy dx = (9x + y + 5)^2 is…
- The general solution of the differential equation y + (x - e^ y ) dy dx = 0 is…
- The tangent to the curve intersects the Y-axis at point P. A line drawn through point P is perpendicular to this tangent and...
- For the differential equation (x^2+y^2)dy=xy ,dx, it is given that y(1) = 1 and y(x_0) = e, then the value of x_0 is _____
- If y=e^ -mx is a solution of the differential equation d^2y dx^2 +4 dy dx +3y=0, then the values of m are
- The order and degree of the differential equation 1+ 1 ( dy dx )^2 = ( d^2y dx^2 )^ 32 are .
- A spherical raindrop evaporates at a rate proportional to its surface area. The differential equation involving the rate of...
- The integrating factor of the differential equation x dy dx +2y=x^2 x is
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