1. Find the differential equation of the family of hyperbolas having center at C(0, k), whose transverse axis is parallel to the y - axis; semi – transverse axis and semi - conjugate axis are always equal to 2. Sketch some of the family of curves.

Q: A particle moves along the top of the parabola y2 = 2x from left to right at a constant speed of 5…

A: A particle moves along the top of the parabola y2=2x from left to right at a constant speed of 5…

Q: 3. Find the equation of the tangent line to the parabola 4x² +9y² = 18z, x = 3 at the point (3, 2,…

A:

Q: Find the equation of the parabola y = x^2 +1 after the rotation of a = pi/2 around the point P(1,0)…

A: The equation of the new parabola is  (y-1)^2 +x =0 andcthe tangent at P(0, 1) is x=0 , that is y -…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.