What is the solution for 7y^{''}+y^'-y=0 ?

The solution for 7y^{''}+y^'-y=0 is y=c_{1}e^{((-1+sqrt(29))t)/(14)}+c_{2}e^{((-1-sqrt(29))t)/(14)}

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

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

y = c_{1} e^{\frac{( - 1 + 29 ) t}{14}} + c_{2} e^{\frac{( - 1 - 29 ) t}{14}}

Solution steps

7 y^{''} (t) + y^{'} (t) - y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( - 1 + 29 ) t}{14}} + c_{2} e^{\frac{( - 1 - 29 ) t}{14}}

y = c_{1} e^{\frac{( - 1 + 29 ) t}{14}} + c_{2} e^{\frac{( - 1 - 29 ) t}{14}}

What is the solution for 7y^{''}+y^'-y=0 ?
The solution for 7y^{''}+y^'-y=0 is y=c_{1}e^{((-1+sqrt(29))t)/(14)}+c_{2}e^{((-1-sqrt(29))t)/(14)}