Transform the given differential equation or system into an equivalent system of first-order differential equations. x ^ { \prime \prime } + 4 x - x ^

Josalynn

Josalynn

Answered question

2021-06-16

Transform the given differential equation or system into an equivalent system of first-order differential equations.

Answer & Explanation

Derrick

Derrick

Skilled2021-06-17Added 94 answers

The second-order equation
x+4xx3=0
is equivalent to equation
f(x,x)=x34x
Hence the substitutions x1=x,x2=x=x1 yield the system
x1=x2
x2=x{1}341

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