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Popular Calculus >

(dy)/(dx)=2x(x-2)

Solution

\frac{d y}{d x} = 2 x (x - 2)

Solution

y = 2 (\frac{x ^{3}}{3} - x^{2}) + c_{1}

Solution steps

\frac{d y}{d x} = 2 x (x - 2)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 2 x (x - 2)

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int 2 x (x - 2) d x

\int 2 x (x - 2) d x = 2 (\frac{x ^{3}}{3} - x^{2}) + c_{1}

y = 2 (\frac{x ^{3}}{3} - x^{2}) + c_{1}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=2x(x-2) ?
The solution for (dy)/(dx)=2x(x-2) is y=2((x^3)/3-x^2)+c_{1}