What is the solution for y^{''}-6y^'+9y=0,y(0)=13,y(1)=0 ?

The solution for y^{''}-6y^'+9y=0,y(0)=13,y(1)=0 is y=13e^{3t}-13e^{3t}t

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y^{''}-6y^'+9y=0,y(0)=13,y(1)=0

y^{^{''}} - 6 y^{^{'}} + 9 y = 0, y (0) = 13, y (1) = 0

y = 13 e^{3 t} - 13 e^{3 t} t

Solution steps

y^{''} (t) - 6 y^{'} (t) + 9 y = 0

Solve linear ODE:

y = 13 e^{3 t} - 13 e^{3 t} t

y = 13 e^{3 t} - 13 e^{3 t} t

x^{^{''}} + 6 x^{^{'}} + 8 x = 0

4 y^{^{''}} - 4 y^{^{'}} + 3 y = 0, y (0) = 1, y^{^{'}} (0) = 5

y^{^{''}} + 2 y^{^{'}} + 10 y = 0, y (\frac{π}{2}) = 0, y^{^{'}} (\frac{π}{2}) = 6

y^{^{''''''}} - y = 0

0.093 y^{^{''}} + 6 y = 0

What is the solution for y^{''}-6y^'+9y=0,y(0)=13,y(1)=0 ?
The solution for y^{''}-6y^'+9y=0,y(0)=13,y(1)=0 is y=13e^{3t}-13e^{3t}t