Find the particular solution of the differential equation given that y = 1 when x = 0.
Form the differential equation representing family of ellipses having foci on X-axis and centre at the origin.
Find the equations of the tangent and normal to the curve at the point .
Find the particular solution of the following differential equation given that at x = 2, y = 1
Solve the following differential equation. (1 + y²) (1 + log |x|) dx + x dy = 0
Show that the relation R in the set N × N defined by (a, b) R (c, d) if a² + d² = b² + c² is an equivalence relation.