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Popular >

(dy)/(dx)= k/(x^2)

Solution

\frac{d y}{d x} = \frac{k}{x ^{2}}

Solution

y = - \frac{k}{x} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{k}{x ^{2}}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = \frac{k}{x ^{2}}

If

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

then

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

y = \int \frac{k}{x ^{2}} d x

\int \frac{k}{x ^{2}} d x = - \frac{k}{x} + c_{1}

y = - \frac{k}{x} + c_{1}

Graph

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Frequently Asked Questions (FAQ)

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