System of ODEs with products How can we solve the system of differential equations <mstyle dis

Nylah Burnett

Nylah Burnett

Answered question

2022-05-21

System of ODEs with products
How can we solve the system of differential equations
d f ( t ) d t = f ( t ) h ( t ) , d g ( t ) d t = g ( t ) h ( t ) , d h ( t ) d t = 1 ( h ( t ) ) 2
The system does not fall to standard ODE methods.

Answer & Explanation

szilincsifs

szilincsifs

Beginner2022-05-22Added 15 answers

You solve the last ODE for h then plug the solution back in the first two.
h ( x ) = exp ( 2 x ) c exp ( 2 x ) + c

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