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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

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2 (t - 3)^{2} + 14 (t - 3) + 27

tangent of f(x)=2x^2-4x+5,(-1,11)tangent of

f (x) = 2 x^{2} - 4 x + 5, (- 1, 11)

((dy)/(dx))/2 =sqrt(y)

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

integral of 1/(2xlog_{5)(x)}

\int \frac{1}{2 x lo g _{5} ( x )} d x

limit as x approaches 2 of 2x^3+x^2+7

x \to 2 lim (2 x^{3} + x^{2} + 7)

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}