Represent the following families of curves by forming the corresponding differential equations (a, b being parameters): (i) `x^2+(y-b)^2=1` (ii) `y=a x^3`

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters): (i) x^2+y^2=a^2 (ii) x^2-y^2=a^2

Represent the following families of curves by forming the corresponding differential equations (a,b being parameters): x^(2)+(y-b)^(2)=1 ii.y=ax^(3)

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters): (i) (x^2)/(a^2)-(y^2)/(b^2)=1 (ii) y=e^(a x)

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters): (i) y^2=4a x (ii) y^2=4a(x-b)

Represent the following families of curves by forming the corresponding differential equations (a being parameter): (i) (x-a)^2-y^2=1 (ii) x^2+y^2=a x^3

Represent the following families of curves by forming the corresponding differential equations (a,b being parameters ):y^(2)=4ax ii.y^(2)=4a(x-b)

Represent the following families of curves by forming the corresponding differential equations (a,b being parameters): (x-a)^(2)-y^(2)=1 ii.x^(2)+y^(2)=ax^(3)

Represent the following families of curves by forming the corresponding differential equations (a,b being parameters): x^(2)+y^(2)=a^(2) ii.x^(2)-y^(2)=a^(2)

Represent the following families of curves by forming the corresponding differential (a, b : parameters) : y=a sin x .

Represent the following families of curves by forming the corresponding differential (a, b : parameters) : y= e^(ax) .