Solve the given differential equation. y'=(5x^2-1)/(5+8y)

Luciano Webster 2022-07-26 Answered
Solve the given differential equation.
y = 5 x 2 1 5 + 8 y
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Answers (1)

Makenna Lin
Answered 2022-07-27 Author has 16 answers
Given:
d y d x = 5 x 2 1 5 + 9 y
variable septerution
( 5 + 8 y ) d y = ( 5 x 2 1 ) d x 5 y + 8 y 2 2 = 5 x 3 3 x + C 5 y + 4 y 2 = 5 3 x 3 x + C 15 y + 12 y 2 = 5 x 3 4 x + 3 C
where c= constant
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