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Popular >

(dy)/(dt)=y*ln(y)

Solution

\frac{d y}{d t} = y \cdot ln (y)

Solution

y = e^{e^{t + c_{1}}}

Solution steps

\frac{d y}{d t} = y \cdot ln (y)

Solve separable ODE:

y = e^{e^{t + c_{1}}}

y = e^{e^{t + c_{1}}}

Popular Examples

(\partial)/(\partial x)(7xe^{x^2+y^2})

\frac{\partial}{\partial x} (7 x e^{x^{2} + y^{2}})

(\partial}{\partial z}(\frac{x^2+z^2)/y+xyz+5xz^2)

\frac{\partial}{\partial z} (\frac{x ^{2} + z ^{2}}{y} + x yz + 5 x z^{2})

integral of (e^x+1)/(e^x-1)

\int \frac{e ^{x} + 1}{e ^{x} - 1} d x

derivative of 1/(\sqrt[3]{x})

(\partial)/(\partial x)(asin(x)sin(y))

\frac{\partial}{\partial x} (a sin (x) sin (y))

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=y*ln(y) ?
The solution for (dy)/(dt)=y*ln(y) is y=e^{e^{t+c_{1}}}