y^'=7y^{''}

Lösung

y^{^{'}} = 7 y^{^{''}}

y = c_{1} + c_{2} e^{\frac{t}{7}}

Schritte zur Lösung

y^{'} (t) = 7 y^{''} (t)

Solve linear ODE:

y = c_{1} + c_{2} e^{\frac{t}{7}}

y = c_{1} + c_{2} e^{\frac{t}{7}}

6 y^{^{'''}} + 78 y^{^{'}} - 696 y = 0

y^{^{''}} - \frac{1}{a ^{2}} y = 0

y^{^{''}} + y^{^{'}} - 6 y = 0, y (0) = - 3

x^{^{''}} + 6 x^{^{'}} + 3 x = 0, x^{^{'}} (0) = 1, x (0) = 2

y^{^{'''}} + 3 y + 4 y = 0