i know nothing about differential equations cause ive only done calc 2 but my brother and i were thinking about a physics problem and we came up with this differential equations (where x and y are both funtions of a parameter t)
btw: i coulnt figure out how to type leibniz notation so when i write x' or y' i mean with respect to t.
y'' = y/[4(x^2+y^2)^3]
x'' = x/[4(x^2+y^2)^3]
how can I get a graph of this curve (on the xy plane) given:
-an interval for the parameter t
-initial conditions for x' and y'
-initial conditions for x and y
-----------------------------------------------------------
Origionally I had it in vector form
P(t)=integral(Vi)dt + 0.25*integral integral [P(t)/(magnitude of P(t))^3] dt dt
where P(t) is the position vector, and Vi is the initial Volocity.
----------------------------------------------------------------
really all i want is a graph of the curve. Is there a program or anything that can help me do this?