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  4. A curve satisfying the initial condition, y(1)=0, satisfies the differential equation, x (d y/d x)=y-x2. The area bounded by the curve and the x-axis is

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Q. A curve satisfying the initial condition, $y(1)=0$, satisfies the differential equation, $x \frac{d y}{d x}=y-x^2$. The area bounded by the curve and the $x$-axis is

Differential Equations

Solution:

equation of the curve is $y = x (1 - x) $