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Popular >

x-ydx+xdy=0

Solution

x - y d x + x d y = 0

Solution

y = - ln (x) x + c_{1} x

Solution steps

x - y d x + x d y = 0

Solve linear ODE:

y = - ln (x) x + c_{1} x

y = - ln (x) x + c_{1} x

Popular Examples

integral from 0 to-pi/3 of xcos(3x)

\int_{0}^{- \frac{π}{3}} x cos (3 x) d x

integral from 1 to 4 of sqrt(5/x)

\int_{1}^{4} \frac{5}{x} d x

integral from 1 to e of 5t^2ln(t)

\int_{1}^{e} 5 t^{2} ln (t) d t

(dx)/(dt)=x-x^2,x(0)=2

\frac{d x}{d t} = x - x^{2}, x (0) = 2

(d^2x)/(dt^2)+(dx)/(dt)-6x=4e^{-2t}

\frac{d ^{2} x}{d t ^{2}} + \frac{d x}{d t} - 6 x = 4 e^{- 2 t}

Frequently Asked Questions (FAQ)

What is the solution for x-ydx+xdy=0 ?
The solution for x-ydx+xdy=0 is y=-ln(x)x+c_{1}x