What is the solution for y^{''}+8y^'+65y=0,y(0)=0,y^'(0)=0 ?

The solution for y^{''}+8y^'+65y=0,y(0)=0,y^'(0)=0 is y=0

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y^{''}+8y^'+65y=0,y(0)=0,y^'(0)=0

y^{^{''}} + 8 y^{^{'}} + 65 y = 0, y (0) = 0, y^{^{'}} (0) = 0

y = 0

Solution steps

y^{''} (t) + 8 y^{'} (t) + 65 y = 0

Solve linear ODE:

y = 0

y = 0

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What is the solution for y^{''}+8y^'+65y=0,y(0)=0,y^'(0)=0 ?
The solution for y^{''}+8y^'+65y=0,y(0)=0,y^'(0)=0 is y=0