Finding Particular Steps of Derivation

eskie
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Find the Particular Solution. Show the steps of derivation, beginning w/ the general solution.
y'=y/x+(2x3/y)cos(x2),y(sqr(pi/2))=sqr(pi)

legend:
sqr=square root
pi= pi.. the 3.1416

i nid the steps.. thanks... :)
 
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This is a simple Bernoulli equation. You may want to google it's solution, or refer to any Calc textbook.
 
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
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