(a) Show that y Superscript 8 Baseline plus x minus 3 equals 0 is an implicit solution to StartFraction dy Over dx EndFraction

Question

2 years ago

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(a) Show that y Superscript 8 Baseline plus x minus 3 equals 0 is an implicit solution to StartFraction dy Over dx EndFraction

equals negative StartFraction 1 Over 8 y Superscript 7 EndFraction on the interval (negative infinity comma 3 ). (b) Show that xy Superscript 9 Baseline minus xy Superscript 9 Baseline cosine x equals 1 is an implicit solution to the differential equation StartFraction dy Over dx EndFraction equals StartFraction (negative x sine x plus cosine x minus 1 )y Over 9 (x minus x cosine x )EndFraction on the interval (0 comma 2 pi ). (c) To verify the solution and the interval, convert y Superscript 8 Baseline plus x minus 3 equals 0 to explicit function(s). yequals RootIndex 8 StartRoot x plus 3 EndRoot (Use a comma to separate answers as needed.)

Mathematics

1 answer:

Nitella [24] · Answer 1 · 2022-02-28T21:39:29+03:00

Nitella [24]2 years ago

8 0

Answer:

a

Step-by-step explanation:

​(a) Show that y Superscript 8 Baseline plus x minus 3 equals 0 is an implicit solution to StartFraction dy Over dx EndFraction

(a) Show that y Superscript 8 Baseline plus x minus 3 equals 0 is an implicit solution to StartFraction dy Over dx EndFraction