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Popular Calculus >

x(dy)/(dx)=2

Solution

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

Solution

y = 2 ln (x) + c_{1}

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

Isolate

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

If

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

then

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

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

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

y = 2 ln (x) + c_{1}

Graph

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Frequently Asked Questions (FAQ)

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