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OpenStudy (anonymous):
Solve the initial value problem: y'=2x/y, y(0)=2.
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OpenStudy (tkhunny):
Have you noticed that it is separable?
OpenStudy (anonymous):
How?
OpenStudy (tkhunny):
How what? How can you notice? y' = 2x/y ==> dy/dx = 2x/y ==> y dy = 2x dx You're almost done!
OpenStudy (anonymous):
I never knew it was that easy. Thanks.
OpenStudy (tkhunny):
When they are separable, you're home free if you can find the antiderivative. Sometimes, there are cool tricks to make things separable when they didn't look like it! You'll learn those later.
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