qrious126
This is one requires substitution, but i don't what i am doing wrong...



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qrious126
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\[yy \prime+x=(x ^{2}+y ^{2})^{1/2}\]

qrious126
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i tried subsitituting \[u = x ^{2}+y ^{2}\]

qrious126
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@UnkleRhaukus

UnkleRhaukus
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why did you think of that substitution?

qrious126
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because it would simplify the right side tremendously...but not too sure.

UnkleRhaukus
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but what would y' become?

qrious126
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\[(1/y)((du/dx)x)\]

qrious126
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but when i substitute it get very messy.

UnkleRhaukus
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substitute and try that simplification again

UnkleRhaukus
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the mess should work it self out

qrious126
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ok thanks!

UnkleRhaukus
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tell me what you get,

qrious126
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this is what i have so far...

qrious126
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\[1/y \left( (ux ^{2})^{1/2}  x(ux ^{2})^{1/2} \right) + x = u ^{1/2}\]

qrious126
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oh wait ....i forgot about that y

qrious126
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got it!

qrious126
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i get c.

qrious126
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thank you very much!

UnkleRhaukus
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\[u'=√u\]