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}}

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}