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Popular Calculus >

(dy)/(dx)=x(x-1)

Solution

\frac{d y}{d x} = x (x - 1)

Solution

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

Solution steps

\frac{d y}{d x} = x (x - 1)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = x (x - 1)

If

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

then

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

y = \int x (x - 1) d x

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

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

Graph

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Frequently Asked Questions (FAQ)

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