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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

ln(y^6)(dy)/(dx)=x^6y,y(1)=e^2

ln (y^{6}) \frac{d y}{d x} = x^{6} y, y (1) = e^{2}

(dy)/(dx)=e^{-y-x}

\frac{d y}{d x} = e^{- y - x}

y^'=(1+y^2)^{0.5}

y^{^{'}} = (1 + y^{2})^{0.5}

(dy)/(dx)(ln|x+8|)^6=y

\frac{d y}{d x} (ln ∣ x + 8 ∣)^{6} = y

x(dy)/(dx)=2x^3y+y

x \frac{d y}{d x} = 2 x^{3} y + y

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}