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Popular >

(dy)/(dx)=4x(x-2)

Solution

\frac{d y}{d x} = 4 x (x - 2)

Solution

y = 4 (\frac{x ^{3}}{3} - x^{2}) + c_{1}

Solution steps

\frac{d y}{d x} = 4 x (x - 2)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

y = \int 4 x (x - 2) d x

\int 4 x (x - 2) d x = 4 (\frac{x ^{3}}{3} - x^{2}) + c_{1}

y = 4 (\frac{x ^{3}}{3} - x^{2}) + c_{1}

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\int e^{3 x^{2}} d x

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\frac{\partial}{\partial θ} (r sin (θ))

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\int \frac{2}{x ^{3} + x ^{2} + x + 1} d x

integral of 7x^3e^{5x}

\int 7 x^{3} e^{5 x} d x

Frequently Asked Questions (FAQ)

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