y^{''}-83y^'+αy=0

Lösung

y^{^{''}} - 83 y^{^{'}} + α y = 0

y = c_{1} e^{\frac{t ( 83 + 6889 - 4 α )}{2}} + c_{2} e^{\frac{t ( 83 - 6889 - 4 α )}{2}}

Schritte zur Lösung

y^{''} (t) - 83 y^{'} (t) + α y = 0

Solve linear ODE:

y = c_{1} e^{\frac{t ( 83 + 6889 - 4 α )}{2}} + c_{2} e^{\frac{t ( 83 - 6889 - 4 α )}{2}}

y = c_{1} e^{\frac{t ( 83 + 6889 - 4 α )}{2}} + c_{2} e^{\frac{t ( 83 - 6889 - 4 α )}{2}}

y^{^{''}} + y = 0, y^{^{'}} (\frac{π}{4}) = 2, y^{^{'}} (0) = 1

y^{^{''}} + 0 y^{^{'}} + 9 y = 0, y (0) = 2, y^{^{'}} (0) = 0

y^{^{''}} + 2 y^{^{'}} - 15 y = 0, y (0) = 1

5 y^{^{''}} + 20 y = 0, y (\frac{π}{4}) = 10, y (0) = 15

2 y^{^{''}} + 6 y^{^{'}} = 0