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Integrate, apply an initial value and sketch

Find the general solution of the differential equation dydx=10x−3x2\dfrac{dy}{dx}=10x-3x^2, expressing yy in terms of xx. Given that y=100y=100 when x=0x=0, sketch this curve.

CJC · Discussion · Question 1

Integrate first; use the extra condition to select a member of the solution family.

Read the worked solution