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Popular Calculus >

(dy)/(dx)=-4x+6x^2

Solution

\frac{d y}{d x} = - 4 x + 6 x^{2}

Solution

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

Solution steps

\frac{d y}{d x} = - 4 x + 6 x^{2}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = - 4 x + 6 x^{2}

If

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

then

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

y = \int - 4 x + 6 x^{2} d x

\int - 4 x + 6 x^{2} d x = - 2 x^{2} + 2 x^{3} + c_{1}

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

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=-4x+6x^2 ?
The solution for (dy)/(dx)=-4x+6x^2 is y=-2x^2+2x^3+c_{1}