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Popular >

(dy)/(dx)=x+2

Solution

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

Solution

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

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = x + 2

If

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

then

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

y = \int x + 2 d x

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

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

Popular Examples

integral of 2x+9x^{-2}

\int 2 x + 9 x^{- 2} d x

y^'-1/x y=x^2y^4

y^{^{'}} - \frac{1}{x} y = x^{2} y^{4}

tangent of f(x)=3x^2-3x-5 tangent of

f (x) = 3 x^{2} - 3 x - 5

(\partial)/(\partial y)(x^4y^{-2})

\frac{\partial}{\partial y} (x^{4} y^{- 2})

integral of 1/((a^2-x^2)^{3/2)}

\int \frac{1}{( a ^{2} - x ^{2} ) ^{\frac{3}{2}}} d x

Frequently Asked Questions (FAQ)

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