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yanyaro
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Solve by reduction of order:
yy''=3y'^2
The answer the book has is y=(c1*x+c2)^(1/2)
I can't figure out how to put it in standard form to get the above answer.
 11 months ago
 11 months ago
yanyaro Group Title
Solve by reduction of order: yy''=3y'^2 The answer the book has is y=(c1*x+c2)^(1/2) I can't figure out how to put it in standard form to get the above answer.
 11 months ago
 11 months ago

This Question is Open

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
do you have a solution ?
 11 months ago

yanyaro Group TitleBest ResponseYou've already chosen the best response.0
No, I'm not sure how to go about doing this problem :/ I know that for a homogeneous 2nd order ODE, the solution is y=c1y1+c2y2 but since the above equation cannot be put in standard form I can't see how to solve it. I should add that the problem wants me to use reduction of order, where I first pick a y1 solution by inspection, then get y2 using: \[y_2=y_1u=y_1\int\limits_{}^{}U\;dx\] where \[U=\frac{ 1 }{ y^2 }e^{\int\limits_{}^{}p\;dx}\] I can do it for a regular problem but I'm lost on this one...
 11 months ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
so first we need to find \(y_1\), a solution to the equation, i'm not sure how to do this
 11 months ago
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