(dy)/(dt)=(6t^2)/(5y)

Lösung

\frac{d y}{d t} = \frac{6 t ^{2}}{5 y}

y = \frac{4 t ^{3}}{5} + c_{1}, y = - \frac{4 t ^{3}}{5} + c_{1}

Schritte zur Lösung

\frac{d y}{d t} = \frac{6 t ^{2}}{5 y}

Solve separable ODE:

y = \frac{4 t ^{3}}{5} + c_{1}, y = - \frac{4 t ^{3}}{5} + c_{1}

y = \frac{4 t ^{3}}{5} + c_{1}, y = - \frac{4 t ^{3}}{5} + c_{1}

\frac{\frac{d y}{d x}}{y} = 5

\frac{d y}{d x} = \frac{- x}{y}, y (4) = - 3

y (1 - x) - x \frac{d y}{d x} = 0

\frac{d y}{d x} = \frac{x + 2}{y - 2}

2 y^{^{'}} + 8 y = 1