(a) Solve the following initial value problem: dy/dx = (y^2 − 4) / x^2 y(1) =...
(a) Solve the following initial value problem:
dy/dx = (y^2 − 4) / x^2
y(1) = 0
(b) Sketch the slope field in the square −4 <x< 4,−4 <y< 4, and draw several solution curves. Mark the solution curve corresponding to your solution.
(c) What is the long term behaviour of the solution from (a) as x → +∞?
Is it defined for all x?
(d) Find the only solution that satisfies lim(x→+∞) y(x) = 2, and explain why there are no other solutions with this property.
Homework Answers
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(a) Solve the following initial value
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dy/dx = (y^2 − 4) / x^2
y(1) =...
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