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Popular >

(dy)/(dx)=1-2x

Solution

\frac{d y}{d x} = 1 - 2 x

Solution

y = x - x^{2} + c_{1}

Solution steps

\frac{d y}{d x} = 1 - 2 x

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 1 - 2 x

If

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

then

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

y = \int 1 - 2 x d x

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

y = x - x^{2} + c_{1}

Popular Examples

integral of xarctan(2x)

\int x arctan (2 x) d x

derivative of (1-cos(x)/(sin(x)))

\frac{d}{d x} (\frac{1 - cos ( x )}{sin ( x )})

(\partial}{\partial x}(y+\frac{x^2)/y)

\frac{\partial}{\partial x} (y + \frac{x ^{2}}{y})

derivative of 1/10 x^5-3/4 x^4+4/3 x^3

\frac{d}{d x} (\frac{1}{10} x^{5} - \frac{3}{4} x^{4} + \frac{4}{3} x^{3})

derivative of (x^2+1^3)

\frac{d}{d x} ((x^{2} + 1)^{3})

Frequently Asked Questions (FAQ)

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