(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I know how to integrate, but I don't understand the wording of the question and what it all means...

Question: How to get a particular solution from the general solution using a BOUNDARY CONIDTION.

[tex]\frac{dy}{dx} = \frac{x^2}{y}[/tex]

subject to the condition that [tex]y = 2[/tex] when [tex]y = 3[/tex]

2. The attempt at a solution

[tex]\frac{y^2}{2} = \frac{x^3}{3} + C[/tex]

[tex]y = 2[/tex] and [tex]y = 3[/tex]

replace into equation...

[tex]2 = 9+ C[/tex]

[tex]C = -7[/tex]

then I guess I replace it into the general solution to verify??

[tex]\frac{y^2}{2} = \frac{x^3}{3} + C[/tex]

[tex]y^2 = \frac{2x^3}{3} - (2)7[/tex]

[tex]y^2 = \frac{2(3)^3}{3} - (2)7[/tex]

[tex]y^2 = \frac{2(3)^3}{3} - 14[/tex]

[tex]y^2 = 18 - 14[/tex]

[tex]y = \sqrt{4}[/tex]

[tex]y = 2[/tex]

I know how to integrate ect.. It's just I don't understand what the question wants? Maybe I solved it?

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# Homework Help: Simple integral, that I don't understand

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