Thread: using initial conditions

i cant see how they got X and Y expressions
V_x is the derivative of X(t) by t
'A' and phi are needed to be found
but when i dont know how to innpur the initial condition to find A_x and A_y
because when we integrate x' expression bot sides i get
x(t)-x(0)=[A_x*cos(wt+phi)]/w - [A_x*cos(0+phi)]/w
so i cant put 'b' instead of x(0) but it doesnt give me A_x parameter value

if you are confuswsed with the simbols thev
v_x=x(t)'
v_y=y(t)'
tell me if you cant understand some simbol translation
its all differential equations

To my opinion in not correct.
And y(t) not satisfies initial contition.

At first you must get final expressions of and
then integrate using initial contitions .

There are 4 unknown variables in and
from initial conditions are 2 given. Additional may be obtained
from conservation laws.