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Popular >

(dy)/(dx)=yln(x)

Solution

\frac{d y}{d x} = y ln (x)

Solution

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

Solution steps

\frac{d y}{d x} = y ln (x)

Solve separable ODE:

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

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

Graph

Popular Examples

derivative of x/(sqrt(x^2+6))

\frac{d}{d x} (\frac{x}{x ^{2} + 6})

integral of (1-x)(e^{-x}+1)

\int (1 - x) (e^{- x} + 1) d x

derivative of ln(3-x)

\frac{d}{d x} (ln (3 - x))

(d^2y)/(dx^2)+4/5 (dy)/(dx)+8/5 y=0

\frac{d ^{2} y}{d x ^{2}} + \frac{4}{5} \frac{d y}{d x} + \frac{8}{5} y = 0

limit as t approaches 1 of (5t-1)/(t+1)

t \to 1 lim (\frac{5 t - 1}{t + 1})

Frequently Asked Questions (FAQ)

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