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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

(x^2-4)(dy)/(dx)+4y=(x+2)2

(x^{2} - 4) \frac{d y}{d x} + 4 y = (x + 2) 2

limit as x approaches 0 of ((cos(2x)-cos(3x)))/(x^2)

x \to 0 lim (\frac{( cos ( 2 x ) - cos ( 3 x ) )}{x ^{2}})

integral of ((x+3))/(sqrt(5-4x-x^2))

\int \frac{( x + 3 )}{5 - 4 x - x ^{2}} d x

(\partial)/(\partial x)(sin(3y)+2ze^{-2x})

\frac{\partial}{\partial x} (sin (3 y) + 2 z e^{- 2 x})

(\partial)/(\partial x)(x-1/y)

\frac{\partial}{\partial x} (x - \frac{1}{y})

Frequently Asked Questions (FAQ)

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