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Popular >

(dy)/(dx)=-1/(x+2)

Solution

\frac{d y}{d x} = - \frac{1}{x + 2}

Solution

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

Solution steps

\frac{d y}{d x} = - \frac{1}{x + 2}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = - \frac{1}{x + 2}

If

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

then

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

y = \int - \frac{1}{x + 2} d x

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

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

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\int (3 x^{2} + 6) d x

Frequently Asked Questions (FAQ)

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