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Popular >

(dy)/(dx)= 1/x

Solution

\frac{d y}{d x} = \frac{1}{x}

Solution

y = ln (x) + c_{1}

Solution steps

\frac{d y}{d x} = \frac{1}{x}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = \frac{1}{x}

If

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

then

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

y = \int \frac{1}{x} d x

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

y = ln (x) + c_{1}

Popular Examples

limit as n approaches infinity of nx

n \to \infty lim (n x)

(dy)/(dt)+e^ty=2e^t

\frac{d y}{d t} + e^{t} y = 2 e^{t}

tangent of f(x)=x^2-2x,(3,3)tangent of

f (x) = x^{2} - 2 x, (3, 3)

limit as x approaches 0 of Inx^2-x^2

x \to 0 lim (I n x^{2} - x^{2})

tangent of f(x)=-x^2,(3,-9)tangent of

f (x) = - x^{2}, (3, - 9)

Frequently Asked Questions (FAQ)

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