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- Homework Statement
- Solve ##x\dfrac {dy}{dx}+y##=##x^{-1/2}##, ##x>0##given that ##y=2## when ##x=4##

- Relevant Equations
- First order ode

From my working...I am getting,

##xy=####\int x^{-1/2}\ dx##

##y##=##\dfrac {2}{x}##+##\dfrac {k}{x}##

##y##=##\dfrac {2}{x}##+##\dfrac {6}{x}##

##y##=##\dfrac {8}{x}##

i hope am getting it right...

##xy=####\int x^{-1/2}\ dx##

##y##=##\dfrac {2}{x}##+##\dfrac {k}{x}##

##y##=##\dfrac {2}{x}##+##\dfrac {6}{x}##

##y##=##\dfrac {8}{x}##

i hope am getting it right...

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