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

Lösung

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

y = \frac{c _{1} + 5 t ^{3}}{3}, y = - \frac{c _{1} + 5 t ^{3}}{3}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{c _{1} + 5 t ^{3}}{3}, y = - \frac{c _{1} + 5 t ^{3}}{3}

y = \frac{c _{1} + 5 t ^{3}}{3}, y = - \frac{c _{1} + 5 t ^{3}}{3}

\frac{d y}{y} - 5 x d x = 0

y^{^{'}} = \frac{y ( y + 1 )}{x + 1}

y y^{^{'}} = e^{x + 2 y} sin (x)

y^{^{'}} = - 2 - y

x cos (x) = (2 y + e^{3 y}) y^{^{'}} (x), y (0) = 0