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Popular >

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

Solution

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

Solution

y = \frac{x}{2} + \frac{c _{1}}{x}

Solution steps

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

Solve linear ODE:

y = \frac{x}{2} + \frac{c _{1}}{x}

y = \frac{x}{2} + \frac{c _{1}}{x}

Popular Examples

derivative of (arctanh(sqrt(3x^2))^3)

\frac{d}{d x} ((arctanh (3 x^{2}))^{3})

integral of xsin(z)

\int x sin (z) d y

tangent of f(x)=(x^3-16x)^8,\at x=4 tangent of

f (x) = (x^{3} - 16 x)^{8}, at x = 4

integral from 0 to infinity of e^{-bx}

\int_{0}^{\infty} e^{- b x} d x

sum from n=0 to infinity of (3/4)^n

n = 0 \sum \infty (\frac{3}{4})^{n}

Frequently Asked Questions (FAQ)

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