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JEE Main20244 Apr 2024Morning ShiftMathematicsDifferential EquationsActual

Let the solution y=y(x) of the differential equation d y ~d x -y=1+4 x satisfy y( )=1 . Then y ( 2 )+10 is equal to ______

Correct answer

0

Step-by-step solution

aligned & y e^ -x = (e^ -x +4 e^ -x x ) d x & y e^ -x =-e^ -x -2 (e^ -x x e^ -x x )+C & y=-1-2( x+ x)+c e^x & y( )=1 c=0 & y( / 2)=-1-2=-3 & Ans =10-3=7 aligned

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