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Popular >

y^'= y/x*ln(y)

Solution

y^{^{'}} = \frac{y}{x} \cdot ln (y)

Solution

y = e^{c_{1} x}

Solution steps

y^{'} (x) = \frac{y}{x} \cdot ln (y)

Solve separable ODE:

y = e^{c_{1} x}

y = e^{c_{1} x}

Popular Examples

(dp)/(dt)=0.5p-450

\frac{d p}{d t} = 0.5 p - 450

x y^{^{'}} + y^{2} = 1

(dP)/(dt)=0.09P(1-P/(200))

\frac{d P}{d t} = 0.09 P (1 - \frac{P}{200})

(dy}{dx}=\frac{12x)/y

\frac{d y}{d x} = \frac{12 x}{y}

(dy)/(dx)=-2y^{3/2}tan(x)

\frac{d y}{d x} = - 2 y^{\frac{3}{2}} tan (x)

Frequently Asked Questions (FAQ)

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