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Popular >

(dy)/(dx)=ln(x^y)

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

integral of (x^4-4^x+\sqrt[4]{x}-4/x)

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

derivative of y=((x+7))/((x-5))derivative of

y = \frac{( x + 7 )}{( x - 5 )}

derivative of 1/2*ln(x)

\frac{d}{d x} (\frac{1}{2} \cdot ln (x))

integral of r^2((r^3)/9+7)^2

\int r^{2} (\frac{r ^{3}}{9} + 7)^{2} d r

integral of (x^5)/((4-x^6)^4)

\int \frac{x ^{5}}{( 4 - x ^{6} ) ^{4}} d x

Frequently Asked Questions (FAQ)

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