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\noindent {\bf Problem statement} Consider the differential equations
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\+a) $\displaystyle{{dy}\over{dx}}=2x+3y$
&b) $\displaystyle{{dy}\over{dx}}=e^{2x+3y}$
&c) $\displaystyle{{dy}\over{dx}}=x^3y^2$
&d) $\displaystyle{{dy}\over{dx}}=x^2+y^3$
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\noindent Two of these are separable. For each of these two separable
equations, solve the initial value problem with the initial condition
$y(0)=1$. In each case your solution should be written as $y=f(x)$
where $f(x)$ is a formula. Choose one of the {\it non-separable}\/
equations and explain carefully why it is {\it not}\/ separable.

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