10y^{''}-3y^'=0

Lösung

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

y = c_{1} e^{\frac{3 t}{10}} + c_{2}

Schritte zur Lösung

10 y^{''} (t) - 3 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} e^{\frac{3 t}{10}} + c_{2}

y = c_{1} e^{\frac{3 t}{10}} + c_{2}

\frac{d ^{2} x}{d t ^{2}} = x

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

(D^{2} - 3 D + 2) y = 0

y^{^{''}} + 16 π^{2} y = 0

y^{^{''}} + r^{2} y = 0