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Popular >

(dy)/(dx)= 2/x

Solution

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

Solution

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

Solution steps

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

Substitute

\frac{d y}{d x}

with

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 a/(1+\frac{b{x+c}})

\frac{d}{d x} (\frac{a}{1 + \frac{b}{x + c}})

integral of 6x^2

\int 6 x^{2} d x

limit as x approaches 0 of x-1/(ln|x|)

x \to 0 lim (x - \frac{1}{ln ∣ x ∣})

x^2y^'+2xy=ln(x),y(1)=6

x^{2} y^{^{'}} + 2 x y = ln (x), y (1) = 6

limit as x approaches-2-of x/(x^2-4)

x \to - 2 - lim (\frac{x}{x ^{2} - 4})

Frequently Asked Questions (FAQ)

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