y^'=a*y

Lösung

y^{^{'}} = a \cdot y

y = e^{a t + c_{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{a t + c_{1}}

y = e^{a t + c_{1}}

(x^{3} + 1) y^{^{'}} = x^{2} y^{- 2}

y^{^{'}} = e^{x^{2}} 100 - y^{2}

x^{^{'}} = \frac{x}{t}

\frac{d y}{d x} = - \frac{7}{8} x^{3} y^{7}

3 y^{^{'}} - 5 y = 0