y^'=y*t

Lösung

y^{^{'}} = y \cdot t

y = e^{\frac{t ^{2}}{2} + c_{1}}

Schritte zur Lösung

y^{'} (t) = y \cdot t

Solve separable ODE:

y = e^{\frac{t ^{2}}{2} + c_{1}}

y = e^{\frac{t ^{2}}{2} + c_{1}}

\frac{d y}{d x} y = (x^{3} - x^{2})^{4}

y^{^{'}} = \frac{5 y}{2000 + 5 t}

\frac{d r}{d x} = \frac{4}{3} π r^{3}

\frac{d y}{d x} = 5 x^{2} y - 9 x y

x y^{^{'}} + y - 6 = 0