I need to solve an equation of this type ( d

antennense 2022-07-01 Answered
I need to solve an equation of this type
( d y d x ) 2 + y 2 b 2 = a 2
but I don't know how to start Any help would be welcome, Thanks !
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Answers (1)

Jamarcus Shields
Answered 2022-07-02 Author has 17 answers
( d y d x ) 2 = a 2 y 2 b 2
This gives us
d y d x = ± a 2 y 2 b 2
d y a 2 b 2 y 2 = ± d x b
Setting y = a b cos ( t ), gives us
a b sin ( t ) d t a b sin ( t ) = ± d x b
This gives us
d t = d x b t = x b + c
Hence,
y = a b cos ( t ) = a b cos ( x b + k )

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