document.write( "Question 1032273: use the differential equation given by dy/dx=xy/3, y > 0.
\n" ); document.write( "Find the particular solution y = f(x) to the given differential equation with the initial condition f(0) = 4. \n" ); document.write( "

Algebra.Com's Answer #647089 by Fombitz(32388) $\"\"$ $\"About$

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Separate the variables,
\n" ); document.write( " $\"dy%2Fy=%28x%2F3%29dx\"$
\n" ); document.write( " $\"ln%28y%29=%281%2F6%29x%5E2%2BC\"$
\n" ); document.write( " $\"y=Ce%5E%28%281%2F6%29x%5E2%29%29\"$
\n" ); document.write( "When $\"x=0\"$ , $\"y=4\"$ ,
\n" ); document.write( " $\"C=4\"$
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\n" ); document.write( " $\"y=4e%5E%28x%5E2%2F6%29%29\"$ \r
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\n" ); document.write( "The exponent is $\"x%5E2%2F6\"$ . \n" ); document.write( "

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