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Popular Calculus >

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

Solution

\frac{d y}{d x} = ∣ x - 2 ∣

Solution

y = \frac{( x - 2 ) ∣ x - 2 ∣}{2} + c_{1}

Solution steps

\frac{d y}{d x} = ∣ x - 2 ∣

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = ∣ x - 2 ∣

If

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

then

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

y = \int ∣ x - 2 ∣ d x

\int ∣ x - 2 ∣ d x = \frac{( x - 2 ) ∣ x - 2 ∣}{2} + c_{1}

y = \frac{( x - 2 ) ∣ x - 2 ∣}{2} + c_{1}

Graph

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in v erse l a pl a ce \frac{3}{( s + 1 ) ^{3}}

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(dx)/(dt)=x+e^t

\frac{d x}{d t} = x + e^{t}

Frequently Asked Questions (FAQ)

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