Hey. I need help simplifying and factoring a differential equation in terms of v and p (velocity(xdot) and position(x) respectively). I need the final answer to be in this form:
a = ( )v + ( )p
Definitions:
m = mass
a = acceleration = xdotdot
v = velocity = xdot
p = position = x
b = constant
k = constant
c = constant
The equation is:
ma + (bv + kp) = ((cv)/(v^2 + p^2)^.5))
I simplified it below as:
a = ((mcv)/(v^2+p^2)^.5)-(bv-kp)
a = ( )v + ( )p
Definitions:
m = mass
a = acceleration = xdotdot
v = velocity = xdot
p = position = x
b = constant
k = constant
c = constant
The equation is:
ma + (bv + kp) = ((cv)/(v^2 + p^2)^.5))
I simplified it below as:
a = ((mcv)/(v^2+p^2)^.5)-(bv-kp)
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