What is the solution for (d^2y)/(dt^2)-11(dy)/(dt)+10y=0 ?

The solution for (d^2y)/(dt^2)-11(dy)/(dt)+10y=0 is y=c_{1}e^{10t}+c_{2}e^t

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(d^2y)/(dt^2)-11(dy)/(dt)+10y=0

\frac{d ^{2} y}{d t ^{2}} - 11 \frac{d y}{d t} + 10 y = 0

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

Solution steps

\frac{d ^{2} y}{d t ^{2}} - 11 \frac{d y}{d t} + 10 y = 0

Solve linear ODE:

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

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

y^{^{''}} - y^{^{'}} - 30 y = 0, y (0) = - 2, y^{^{'}} (0) = 21

y^{^{''}} + 6 y^{^{'}} + 9 y = 0, y (0) = - 4, y^{^{'}} (0) = 15

9 y^{^{''}} + 8 y^{^{'}} - 7 y = 0

y^{^{''''}} - 3 y^{^{'''}} - 6 y^{^{''}} + 28 y^{^{'}} - 24 y = 0

5 y^{^{''}} + 20 y^{^{'}} + 10 y = 0

What is the solution for (d^2y)/(dt^2)-11(dy)/(dt)+10y=0 ?
The solution for (d^2y)/(dt^2)-11(dy)/(dt)+10y=0 is y=c_{1}e^{10t}+c_{2}e^t