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Popular >

(dy)/(dx)= 1/(x^2)

Solution

\frac{d y}{d x} = \frac{1}{x ^{2}}

Solution

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

Solution steps

\frac{d y}{d x} = \frac{1}{x ^{2}}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = \frac{1}{x ^{2}}

If

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

then

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

y = \int \frac{1}{x ^{2}} d x

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

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

Popular Examples

derivative of arcsin(x/5)derivative of

arcsin (\frac{x}{5})

limit as x approaches-1-of 6/(x+1)

x \to - 1 - lim (\frac{6}{x + 1})

integral of (x^2)/(x^3+5)

\int \frac{x ^{2}}{x ^{3} + 5} d x

derivative of f(t)=(cos(t))/(t^3)derivative of

f (t) = \frac{cos ( t )}{t ^{3}}

f (t) = sec (t)

Frequently Asked Questions (FAQ)

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