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Prove that for the curve y=be^(x//a) , ...

Prove that for the curve `y=be^(x//a)` , the subtangent is of constant length and the sub-normal varies as the square of the ordinate .

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Find the curve in which the length of the normal varies as the square of the ordinate.

Find the equation of the curve in which the subnormal varies as the square of the ordinate.

Find the equation of the curve in which the subnormal varies as the square of the ordinate.

Find the equation of the curve in which the subnormal varies as the square of the ordinate.

Find the equation of the curve in which the subnormal varies as the square of the ordinate.

In the curve y=ce^((x)/(a)), the sub-tangent is constant sub-normal varies as the square of the ordinate tangent at (x_(1),y_(1)) on the curve intersects the x-axis at a distance of (x_(1)-a) from the origin equation of the normal at the point where the curve cuts y-axis is cy+ax=c^(2)

In the curve y=c e^(x/a) , the sub-tangent is constant sub-normal varies as the square of the ordinate tangent at (x_1,y_1) on the curve intersects the x-axis at a distance of (x_1-a) from the origin equation of the normal at the point where the curve cuts y-a xi s is c y+a x=c^2

In the curve y=c e^(x/a) , the sub-tangent is constant sub-normal varies as the square of the ordinate tangent at (x_1,y_1) on the curve intersects the x-axis at a distance of (x_1-a) from the origin equation of the normal at the point where the curve cuts y-a xi s is c y+a x=c^2

At any point on the curve y=f(x) ,the sub-tangent, the ordinate of the point and the sub-normal are in

The lengths of the sub-tangent , ordinate and the sub-normal are in