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Popular >

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}

Popular Examples

derivative of (91t)/(99t-91)derivative of

\frac{91 t}{99 t - 91}

derivative of 2xe^{2x}+e^{2x}

\frac{d}{d x} (2 x e^{2 x} + e^{2 x})

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\int \frac{1}{1 - sin ( z )} d z

limit as x approaches 0 of ((x+3))/x

x \to 0 lim (\frac{( x + 3 )}{x})

integral of sqrt(1+e^{-2x)}

\int 1 + e^{- 2 x} d x

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}