What is the solution for (dy)/(dt)=y(5-ty) ?

The solution for (dy)/(dt)=y(5-ty) is y=(25e^{5t})/(5e^{5t)t-e^{5t}+c_{1}}

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(dy)/(dt)=y(5-ty)

\frac{d y}{d t} = y (5 - t y)

y = \frac{25 e ^{5 t}}{5 e ^{5 t} t - e ^{5 t} + c _{1}}

Solution steps

\frac{d y}{d t} = y (5 - t y)

Solve Bernoulli ODE:

y = \frac{25 e ^{5 t}}{5 e ^{5 t} t - e ^{5 t} + c _{1}}

y = \frac{25 e ^{5 t}}{5 e ^{5 t} t - e ^{5 t} + c _{1}}

x \to 8 lim (\frac{( x - 2 )}{x - 8})

h \to 0 lim (\frac{f ( h ) ( h + 2 ) - 11}{h})

\frac{d}{d x} (\frac{36 x}{( x ^{2} + 9 ) ^{2}})

\frac{d}{d x} (\frac{1}{5} cos (5 x))

What is the solution for (dy)/(dt)=y(5-ty) ?
The solution for (dy)/(dt)=y(5-ty) is y=(25e^{5t})/(5e^{5t)t-e^{5t}+c_{1}}