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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

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\int (2 t i + j + k) d t

limit as x approaches 0 of (4/(2+x)-2)/x

x \to 0 lim (\frac{\frac{4}{2 + x} - 2}{x})

Frequently Asked Questions (FAQ)

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