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Q35Section A (Section A)35 of 35

Solution of a first-order differential equation by substitution

Consider the differential equation

xdydx=y+yx,x>13,y>0.x\frac{dy}{dx}=y+\sqrt{\frac yx},\quad x>\frac13, y>0.

If y(1)=1y(1)=1, then y(4)y(4) is

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