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Popular >

(dy)/(dx)=5x(x-4)

Solution

\frac{d y}{d x} = 5 x (x - 4)

Solution

y = 5 (\frac{x ^{3}}{3} - 2 x^{2}) + c_{1}

Solution steps

\frac{d y}{d x} = 5 x (x - 4)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 5 x (x - 4)

If

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

then

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

y = \int 5 x (x - 4) d x

\int 5 x (x - 4) d x = 5 (\frac{x ^{3}}{3} - 2 x^{2}) + c_{1}

y = 5 (\frac{x ^{3}}{3} - 2 x^{2}) + c_{1}

Popular Examples

integral of (\sqrt[7]{x})

integral of 15x

\int 15 x d x

tangent of g(x)=e^{x^5-6x},\at x=-1 tangent of

g (x) = e^{x^{5} - 6 x}, at x = - 1

derivative of (2x^2+6x+8)/(sqrt(x))derivative of

\frac{2 x ^{2} + 6 x + 8}{x}

integral of (sqrt(u))/2

\int \frac{u}{2} d u

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=5x(x-4) ?
The solution for (dy)/(dx)=5x(x-4) is y=5((x^3)/3-2x^2)+c_{1}