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Popular >

y^'+ln(x)y=ln(x)

Solution

y^{^{'}} + ln (x) y = ln (x)

Solution

y = e^{x + c_{1}} x^{- x} + 1

Solution steps

y^{'} (x) + ln (x) y = ln (x)

Solve separable ODE:

y = e^{x + c_{1}} x^{- x} + 1

y = e^{x + c_{1}} x^{- x} + 1

Popular Examples

integral of (sin(x)+cos(x))^2

\int (sin (x) + cos (x))^{2} d x

derivative of (x-3/(6x-5))

\frac{d}{d x} (\frac{x - 3}{6 x - 5})

limit as x approaches 2 of 1/(sqrt(2-x))

x \to 2 lim (\frac{1}{2 - x})

(\partial)/(\partial y)(e^{-x}cos(y))

\frac{\partial}{\partial y} (e^{- x} cos (y))

slope of (2,5),(3,1)slope

(2, 5), (3, 1)

Frequently Asked Questions (FAQ)

What is the solution for y^'+ln(x)y=ln(x) ?
The solution for y^'+ln(x)y=ln(x) is y=e^{x+c_{1}}x^{-x}+1