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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

integral of x/((x^2+4)^3)

\int \frac{x}{( x ^{2} + 4 ) ^{3}} d x

integral of 3/(x^2sqrt(1+x^2))

\int \frac{3}{x ^{2} 1 + x ^{2}} d x

(\partial)/(\partial y)(sqrt(x^2+y^2))

\frac{\partial}{\partial y} (x^{2} + y^{2})

integral from 0 to 8 of 5/(x^{2/3)}

\int_{0}^{8} \frac{5}{x ^{\frac{2}{3}}} d x

tangent of y=2x^2+1 tangent of

y = 2 x^{2} + 1

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}