What is the solution for y^{''}+14y^'+49y=0,y(1)=0,y^'(1)=1 ?

The solution for y^{''}+14y^'+49y=0,y(1)=0,y^'(1)=1 is y=-e^{7-7t}+e^{7-7t}t

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y^{''}+14y^'+49y=0,y(1)=0,y^'(1)=1

y^{^{''}} + 14 y^{^{'}} + 49 y = 0, y (1) = 0, y^{^{'}} (1) = 1

y = - e^{7 - 7 t} + e^{7 - 7 t} t

Solution steps

y^{''} (t) + 14 y^{'} (t) + 49 y = 0

Solve linear ODE:

y = - e^{7 - 7 t} + e^{7 - 7 t} t

y = - e^{7 - 7 t} + e^{7 - 7 t} t

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What is the solution for y^{''}+14y^'+49y=0,y(1)=0,y^'(1)=1 ?
The solution for y^{''}+14y^'+49y=0,y(1)=0,y^'(1)=1 is y=-e^{7-7t}+e^{7-7t}t