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Popular >

(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

Popular Examples

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derivative of f(t)=5tsin(pit)derivative of

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y^{''''}+2*y^{''}+y=0

y^{^{''''}} + 2 \cdot y^{^{''}} + y = 0

(\partial)/(\partial y)(2xy+2x)

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

derivative of sin^2(8x)

\frac{d}{d x} (sin^{2} (8 x))

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}