What is the solution for 6y^{''}-11y^'+3y=0 ?

The solution for 6y^{''}-11y^'+3y=0 is y=c_{1}e^{(3t)/2}+c_{2}e^{t/3}

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6y^{''}-11y^'+3y=0

6 y^{^{''}} - 11 y^{^{'}} + 3 y = 0

y = c_{1} e^{\frac{3 t}{2}} + c_{2} e^{\frac{t}{3}}

Solution steps

6 y^{''} (t) - 11 y^{'} (t) + 3 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{3 t}{2}} + c_{2} e^{\frac{t}{3}}

y = c_{1} e^{\frac{3 t}{2}} + c_{2} e^{\frac{t}{3}}

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What is the solution for 6y^{''}-11y^'+3y=0 ?
The solution for 6y^{''}-11y^'+3y=0 is y=c_{1}e^{(3t)/2}+c_{2}e^{t/3}