Division of differential equations. (dx(t))/(dy(t))=(ax(t)-beta x(t)y(t))/(-gamma y(t)+delta x (t)y(t))

odcinaknr

odcinaknr

Answered question

2022-10-02

Division of differential equations
d x ( t ) d y ( t ) = α x ( t ) β x ( t ) y ( t ) γ y ( t ) + δ x ( t ) y ( t )
How would one simplify this fraction? Maybe the chain rule could be of any use, but I don't see how.

Answer & Explanation

barquegese2

barquegese2

Beginner2022-10-03Added 11 answers

Step 1
You can write your differential equation as
d x d y = x ( α β y ) y ( δ x γ )
Step 2
which can be separated as
( δ x γ )   d x x = ( α β y )   d y y
you can take it from there.

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