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Popular >

(dy)/(dx)=6-3x^2

Solution

\frac{d y}{d x} = 6 - 3 x^{2}

Solution

y = 6 x - x^{3} + c_{1}

Solution steps

\frac{d y}{d x} = 6 - 3 x^{2}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 6 - 3 x^{2}

If

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

then

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

y = \int 6 - 3 x^{2} d x

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

y = 6 x - x^{3} + c_{1}

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Frequently Asked Questions (FAQ)

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