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Popular Calculus >

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

Graph

Popular Examples

integral from 0 to L of x/(x)

\int_{0}^{L} \frac{x}{d + x} d x

(\partial)/(\partial x)((2x+5y)e^y)

\frac{\partial}{\partial x} ((2 x + 5 y) e^{y})

(\partial)/(\partial x)(x+y-xy)

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

integral from 0 to 8 of (x+1)^2

\int_{0}^{8} (x + 1)^{2} d x

limit as x approaches 0 of (ln(1-6x))/x

x \to 0 lim (\frac{ln ( 1 - 6 x )}{x})

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