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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

f(x)=(6x^2+10)/(4x^3)

f (x) = \frac{6 x ^{2} + 10}{4 x ^{3}}

(e^{t})^{^{'}}

integral from 1 to 2 of (x+1)^2

\int_{1}^{2} (x + 1)^{2} d x

laplacetransform e^{5(t-2)}(t^3+2t)^2 laplace transform

e^{5 (t - 2)} (t^{3} + 2 t)^{2}

derivative of g(x)=ln((5x-2)^4)derivative of

g (x) = ln ((5 x - 2)^{4})

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}