# differential equations

posted by
**Rikki**
.

Consider the 2nd order differential equation:

x''(t)=-x-A(x^2-1)x'(t)

x(0)= 0.5

x'0)= 0

''= 2nd order,'= 1st order

where A is a positive constant.As the value of A increases this equation becomes increasingly stiff.

Convert this equation to two first-order equations.

please show working