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Popular >

(dy)/(dx)=x-5

Solution

\frac{d y}{d x} = x - 5

Solution

y = \frac{x ^{2}}{2} - 5 x + c_{1}

Solution steps

\frac{d y}{d x} = x - 5

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = x - 5

If

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

then

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

y = \int x - 5 d x

\int x - 5 d x = \frac{x ^{2}}{2} - 5 x + c_{1}

y = \frac{x ^{2}}{2} - 5 x + c_{1}

Popular Examples

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\int 3 3 x + 1 d x

integral of x(x+2)^4

\int x (x + 2)^{4} d x

tangent of f(x)=4x^3-12x^2,\at x=-2 tangent of

f (x) = 4 x^{3} - 12 x^{2}, at x = - 2

integral of sin(9t)

\int sin (9 t) d t

integral from 0 to 1 of x(4/9 x(5-x^2))

\int_{0}^{1} x (\frac{4}{9} x (5 - x^{2})) d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=x-5 ?
The solution for (dy)/(dx)=x-5 is y=(x^2)/2-5x+c_{1}