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Popular Calculus >

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

Solution

\frac{d y}{d x} = (x + 1)

Solution

y = \frac{x ^{2}}{2} + x + c_{1}

Solution steps

\frac{d y}{d x} = (x + 1)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = (x + 1)

If

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

then

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

y = \int x + 1 d x

\int x + 1 d x = \frac{x ^{2}}{2} + x + c_{1}

y = \frac{x ^{2}}{2} + x + c_{1}

Graph

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(dy)/(dx)+xy=xy^2

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Frequently Asked Questions (FAQ)

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