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Application Of Differential Equation In Curve

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What is the differential equation of the curve y=ax^(2)+bx ?

What is the differential equation of the curve y= ax^(2) + bx ?

A curve is such that the length of the polar radius of any point on the curve is equal to the length of the tangent drawn at this point.Form the differential equation and solve it to find the equation of the curve.

Solution of the differential equation ydx/dy=x(lnx-Iny+1) is given by y = y(x) such that y(e) = 1 then equation of curve is given by y=y(x) such that y(e)=1 then equation of curve is given by

If a curve is such that line joining origin to any point P (x,y) on the curve and the line parallel to y-axis through P are equally inclined to tangent to curve at P, then the differential equation of the curve is:

Family y = Ax + A^(3) of curves will correspond to a differential equation of order