What is the solution for y^{''}-11y^'-24y=0 ?

The solution for y^{''}-11y^'-24y=0 is y=c_{1}e^{((11+sqrt(217))t)/2}+c_{2}e^{((11-sqrt(217))t)/2}

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y^{''}-11y^'-24y=0

y^{^{''}} - 11 y^{^{'}} - 24 y = 0

y = c_{1} e^{\frac{( 11 + 217 ) t}{2}} + c_{2} e^{\frac{( 11 - 217 ) t}{2}}

Solution steps

y^{''} (t) - 11 y^{'} (t) - 24 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( 11 + 217 ) t}{2}} + c_{2} e^{\frac{( 11 - 217 ) t}{2}}

y = c_{1} e^{\frac{( 11 + 217 ) t}{2}} + c_{2} e^{\frac{( 11 - 217 ) t}{2}}

x^{^{''''}} + 2 x^{^{''}} + x = 0

27 \frac{d ^{3} y}{d x ^{3}} + y = 0

y^{^{''}} + 6 y^{^{'}} + 25 y = 0, y (0) = 1, y^{^{'}} (0) = - 1

\frac{x ^{^{''}} + ( n - 1 ) x ^{^{'}}}{r} = 0

(D^{3} - 4 D) y = 0

What is the solution for y^{''}-11y^'-24y=0 ?
The solution for y^{''}-11y^'-24y=0 is y=c_{1}e^{((11+sqrt(217))t)/2}+c_{2}e^{((11-sqrt(217))t)/2}