What is the solution for t(dy)/(dt)-y=sqrt(yt) ?

The solution for t(dy)/(dt)-y=sqrt(yt) is y= 1/4 tln^2(t)+c_{1}tln(t)+c_{1}^2t

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t(dy)/(dt)-y=sqrt(yt)

t \frac{d y}{d t} - y = y t

y = \frac{1}{4} t ln^{2} (t) + c_{1} t ln (t) + c_{1}^{2} t

Solution steps

t \frac{d y}{d t} - y = y t

Solve Bernoulli ODE:

y = \frac{1}{4} t ln^{2} (t) + c_{1} t ln (t) + c_{1}^{2} t

y = \frac{1}{4} t ln^{2} (t) + c_{1} t ln (t) + c_{1}^{2} t

\frac{\partial}{\partial x} (e^{- 7 x} cos (7 π t))

n = 1 \sum \infty \frac{n ^{2}}{n + 5}

\int_{0}^{π} tan (x) d x

n = 1 \sum \infty \frac{1}{5 n}

\int \frac{tan ( x ) - 1}{sec ^{2} ( x )} d x

What is the solution for t(dy)/(dt)-y=sqrt(yt) ?
The solution for t(dy)/(dt)-y=sqrt(yt) is y= 1/4 tln^2(t)+c_{1}tln(t)+c_{1}^2t