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In the following problems determine whether existence of at least one solution of the given initial...

In the following problems determine whether existence of at least one solution of the
given initial value problem is thereby guaranteed and if so, whether the uniqueness of
that solution is guaranteed. For each initial value problem determine all solutions and
the intervals where they hold, if the case.
(a) dy/dx = y^(1/3); y(1) = 1.
(b) dy/dx = y^(1/3); y(1) = 0.
(c) dy/dx =sqrt(x - y); y(2) = 1.

Can you explain how can we approach these kind of problems and?

Math   Advanced-Math   
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Answer #1

in (iii) initial condition not satisfy..... it is very easy differetial equation.. just seprate both dependent and indendent variable.. and intigrate it...and find solution... any problem i will be always for you. have a good day.

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