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Popular >

(dy)/(dx)=2x^{-3}

Solution

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

Solution

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

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

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

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

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

Popular Examples

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x \to 2 lim (14 + x)

(\partial)/(\partial x)(e^ysin(x)y)

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2 x e^{- 4 x}

4y^{''}-4y^'+y=16e^{(t/2)}

4 y^{^{''}} - 4 y^{^{'}} + y = 16 e^{(\frac{t}{2})}

integral of 1-1/(x^2)

\int 1 - \frac{1}{x ^{2}} d x

Frequently Asked Questions (FAQ)

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