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Popular >

(dy)/(dx)=6-x

Solution

\frac{d y}{d x} = 6 - x

Solution

y = 6 x - \frac{x ^{2}}{2} + c_{1}

Solution steps

\frac{d y}{d x} = 6 - x

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 6 - x

If

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

then

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

y = \int 6 - x d x

\int 6 - x d x = 6 x - \frac{x ^{2}}{2} + c_{1}

y = 6 x - \frac{x ^{2}}{2} + c_{1}

Popular Examples

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f (x) = 2 x^{2} - 10 x + 9, (2, - 3)

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x \to 1 lim (\frac{( 1 )}{( 1 + x )} - \frac{( 3 )}{( 1 - x ^{(3)} )})

(x^2+y^2)dx+2xydy=0

(x^{2} + y^{2}) d x + 2 x y d y = 0

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\int 30 (16 - x^{2}) d x

integral of (x^3-5x-11)/(x^2-x-6)

\int \frac{x ^{3} - 5 x - 11}{x ^{2} - x - 6} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=6-x ?
The solution for (dy)/(dx)=6-x is y=6x-(x^2)/2+c_{1}