What is the solution for y^{''}-7y^'+12y=0,y(0)=1,y^'(0)=-1 ?

The solution for y^{''}-7y^'+12y=0,y(0)=1,y^'(0)=-1 is y=-4e^{4t}+5e^{3t}

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y^{''}-7y^'+12y=0,y(0)=1,y^'(0)=-1

y^{^{''}} - 7 y^{^{'}} + 12 y = 0, y (0) = 1, y^{^{'}} (0) = - 1

y = - 4 e^{4 t} + 5 e^{3 t}

Solution steps

y^{''} (t) - 7 y^{'} (t) + 12 y = 0

Solve linear ODE:

y = - 4 e^{4 t} + 5 e^{3 t}

y = - 4 e^{4 t} + 5 e^{3 t}

What is the solution for y^{''}-7y^'+12y=0,y(0)=1,y^'(0)=-1 ?
The solution for y^{''}-7y^'+12y=0,y(0)=1,y^'(0)=-1 is y=-4e^{4t}+5e^{3t}