- #1
jenniferAOI
- 12
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Homework Statement
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(dy/dx)^2 = (1-y^2) / (1-x^2)
Homework Equations
Separating the variables I arrive with:
dy/sqrt(1-y^2) = dx/sqrt(1-x^2)
By integration on both sides by trigonometric substitution and putting it in a general solution:
Arcsin y - Arcsin x = C
The Attempt at a Solution
If I want to simplify more. Would it be right if I write:
Arcsin (y-x) = C
Multiply sin on both sides:
y-x = C would be my final answer.
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