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Popular >

(dy)/(dx)=3x(x-1)

Solution

\frac{d y}{d x} = 3 x (x - 1)

Solution

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

Solution steps

\frac{d y}{d x} = 3 x (x - 1)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 3 x (x - 1)

If

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

then

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

y = \int 3 x (x - 1) d x

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

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

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

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