Differential Equations Answers

x^2p^²-2xyp+2y^2-x^2=0

Find the equation of the curve so drawn that every point on it is equidistant from the origin and the intersection of the x-axis with the normal to the curve at the point.

How can harmonic motion be described mathematically? Be sure to link correct mathematical terms to correct physics terms – for example, how are the amplitude, period length, and other mathematical properties of harmonic motion waves related to how an object is moving?

Determine the maximum and minimum of the function f (x) = -x3 + 2x2 – x [0.2].

Define derivatives for the following functions

a.) y= √3x^2+1/3t

b.) y= e^-x sin^2x

c.) y= sin2x / sin^2x

For what value of x is the tangent of the graph of the function f (x) = x4− ax 3−4 parallel to the x axis?

Set the following threshold:

Could you help me find the general solution for these equations, please? Thank you

y'''+ y'' = y + x^5

y(y'') = y' + 8x^3

a particle moves along a path y=2cos3x in such a way that the component of its velocity in the x-direction is 4 units. find its acceleration?

A particle moves along a path y=2cos 3x in such a way that the component of it velocity in x direction is 4 units. find its acceleration