y^'=3y,y(1)=5

Lösung

y^{^{'}} = 3 y, y (1) = 5

y = 5 e^{3 t - 3}

Schritte zur Lösung

y^{'} (t) = 3 y

Solve separable ODE:

y = 5 e^{3 t - 3}

y = 5 e^{3 t - 3}

y \frac{d y}{d x} - 4 x = 0

d x - \frac{1}{1 + y ^{2}} d y = 0

(x^{2} - 9) y^{^{'}} + x y = 0, y (5) = 1

y^{^{'}} = y^{2} (x + 1), y (0) = 2

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