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y-y-cos-x-1-2y-2-trouve-la-solution-de-lequation-differentielle-




Question Number 154846 by SANOGO last updated on 22/Sep/21
y′=((y cos(x))/(1+2y^2 ))  trouve la solution de lequation differentielle
y=ycos(x)1+2y2trouvelasolutiondelequationdifferentielle
Commented by tabata last updated on 22/Sep/21
(dy/dx) = (y/(1+2y^2 )) cos(x)      ((1 + 2y^2 )/y) dy = cos(x) dx    ln∣ y ∣ + y^2  = sin(x) + c    ∴ y^2  + ln ∣ y ∣ − sin(x) = c     ⟨ M . T  ⟩
dydx=y1+2y2cos(x)1+2y2ydy=cos(x)dxlny+y2=sin(x)+cy2+lnysin(x)=cM.T
Commented by SANOGO last updated on 22/Sep/21
merci bien
mercibien

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