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Popular >

(dv)/(dx)=x

Solution

\frac{d v}{d x} = x

Solution

v = \frac{x ^{2}}{2} + c_{1}

Solution steps

\frac{d v}{d x} = x

Substitute

\frac{d v}{d x}

with

v^{'} (x)

v^{^{'}} (x) = x

If

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

then

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

v = \int x d x

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

v = \frac{x ^{2}}{2} + c_{1}

Popular Examples

y^{'''}+y^{''}=0

y^{^{'''}} + y^{^{''}} = 0

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

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

10^{-3}y^'+10y=220cos(50t)

1 0^{- 3} y^{^{'}} + 10 y = 220 cos (50 t)

integral from 0 to 4 of 2pix(1/(x+3))

\int_{0}^{4} 2 π x (\frac{1}{x + 3}) d x

limit as x approaches 3 of x^2-3x+4

x \to 3 lim (x^{2} - 3 x + 4)

Frequently Asked Questions (FAQ)

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