What is the solution for 3y^{''}-11y^'+10y=0,y(0)=8,y^'(0)=-4 ?

The solution for 3y^{''}-11y^'+10y=0,y(0)=8,y^'(0)=-4 is y=-52e^{2t}+60e^{(5t)/3}

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3y^{''}-11y^'+10y=0,y(0)=8,y^'(0)=-4

3 y^{^{''}} - 11 y^{^{'}} + 10 y = 0, y (0) = 8, y^{^{'}} (0) = - 4

y = - 52 e^{2 t} + 60 e^{\frac{5 t}{3}}

Solution steps

3 y^{''} (t) - 11 y^{'} (t) + 10 y = 0

Solve linear ODE:

y = - 52 e^{2 t} + 60 e^{\frac{5 t}{3}}

y = - 52 e^{2 t} + 60 e^{\frac{5 t}{3}}

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What is the solution for 3y^{''}-11y^'+10y=0,y(0)=8,y^'(0)=-4 ?
The solution for 3y^{''}-11y^'+10y=0,y(0)=8,y^'(0)=-4 is y=-52e^{2t}+60e^{(5t)/3}