y^'=4y,y(0)=1

Lösung

y^{^{'}} = 4 y, y (0) = 1

y = e^{4 t}

Schritte zur Lösung

y^{'} (t) = 4 y

Solve separable ODE:

y = e^{4 t}

y = e^{4 t}

\frac{d y}{d x} = \frac{y}{x ^{2} - 1}

2 y + 3 + (2 x - 1) \frac{d y}{d x} = 0

x^{2} + y^{2} \frac{d y}{d x} = 3

(1 - x) y^{^{'}} = y

y^{^{'}} = 6 y^{2} x