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emworden90
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Determine whether or not the following equation is exact, find the solution. If not, use an integrating factor to convert it into exact and solve it. 2e^(x/2 +y)  y + 2((xe ^(x/2 +y) + 1) )dy/dx = 0 , y(0) = 1
 one year ago
 one year ago
emworden90 Group Title
Determine whether or not the following equation is exact, find the solution. If not, use an integrating factor to convert it into exact and solve it. 2e^(x/2 +y)  y + 2((xe ^(x/2 +y) + 1) )dy/dx = 0 , y(0) = 1
 one year ago
 one year ago

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vf321 Group TitleBest ResponseYou've already chosen the best response.1
A DE is exact iff, when in the form \[M dx + Ndy = 0\]that \(\frac{\partial M}{\partial x} = \frac{\partial N}{\partial x}\) because by Young's theorem this implies the existence of a relation \(\Psi(x, y) = C\) which can in turn be solved for \(y\).
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
\[2e^{x/2 +y}  y + 2(xe ^{x/2 +y} + 1) \frac{\mathrm dy}{\mathrm dx} = 0\] \[(2e^{x/2 +y}  y )\mathrm dx+ 2(xe ^{x/2 +y} + 1) \mathrm dy= 0\]
 one year ago
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