kasibug1v

kasibug1v

Answered

2022-09-29

How do you find the particular solution to x + y y = 0 that satisfies y(1)=4?

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Answer & Explanation

Demarion Thornton

Demarion Thornton

Expert

2022-09-30Added 11 answers

x + y y = 0
This is separable:
y   y = - x
  d y   y = -   d x   x
2 3 y 3 2 = - ( 2 3 x 3 2 + C )
y 3 2 = - x 3 2 + C
y ( 1 ) = 4 ( y ( 1 ) ) 3 2 = 8 = - 1 + C C = 9
y = ( 9 - x 3 2 ) 2 3

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