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Please Solve the following differential equation y'−2⋅y=−9+(−10)⋅x Given: y(0) = 13
 one year ago
 one year ago
Please Solve the following differential equation y'−2⋅y=−9+(−10)⋅x Given: y(0) = 13
 one year ago
 one year ago

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pastaBest ResponseYou've already chosen the best response.0
y=9+10x+y', 13=9+10(0)+y' y'=139 y'=4
 one year ago

RafaMatBest ResponseYou've already chosen the best response.0
\[y'2y=910x.\ y(0)=13.=>\] \[\int\limits y '2y=\int\limits 910x=>\] \[yy^2+K_1=9x5x^2+K_2=>\] \[y(1y)=9x5x^2+K_1+K_2=>\]\[If \ y(0)=13,\ => y(1y)=13.(113)=9.05.0^2+K=>\]\[ ∴K=156\]\[y(1y)=9x5x^2156\]
 one year ago
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