Rewrite the system of differential equations given below as an equivalent system of first-order differential equations. Use the variables
x1=x x2=x' x3=y etc.
(so that your equations will have the form x2'=x3, etc.: denote subscripts by appending the subscript: x1= x1).

System to rewrite:
0=x''−30x+15y
0=y''+5x−24y
(Note that primes denote differentiation with respect to t.)
x1' =
x2' =
x3' =
x4' =

Question

Rewrite the system of differential equations given below as an equivalent system of first-order differential equations. Use the variables
x1=x    x2=x'  x3=y  etc.
(so that your equations will have the form x2'=x3, etc.: denote subscripts by appending the subscript: x1= x1).

System to rewrite:
0=x''−30x+15y
0=y''+5x−24y
(Note that primes denote differentiation with respect to t.)
x1' =
x2' =
x3' =
x4' =

anonymous · Answer

i first solved x''=30x-15y
y''=-5x+24y

anonymous · Answer

then did x1=x
x2=x'-x1'
x3=x''=x1''=x2'=y

anonymous · Answer

now im not sure what im supposed to do now

anonymous · Answer

remember that when you have y''=2yy' or  y'(y+y)

anonymous · Answer

wait im sorry im stilll confused! can you please elaborate?