What is the solution for y^{''}-4y^'+3y=0,y(0)=6,y^'(0)=10 ?

The solution for y^{''}-4y^'+3y=0,y(0)=6,y^'(0)=10 is y=2e^{3t}+4e^t

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y^{''}-4y^'+3y=0,y(0)=6,y^'(0)=10

y^{^{''}} - 4 y^{^{'}} + 3 y = 0, y (0) = 6, y^{^{'}} (0) = 10

y = 2 e^{3 t} + 4 e^{t}

Solution steps

y^{''} (t) - 4 y^{'} (t) + 3 y = 0

Solve linear ODE:

y = 2 e^{3 t} + 4 e^{t}

y = 2 e^{3 t} + 4 e^{t}

y^{^{''}} - 2 y^{^{'}} + 2 y = 0, y (π) = - 1, y (0) = 1

y^{^{''}} + 6 y^{^{'}} + 25 y = 0, y (0) = 3, y^{^{'}} (0) = 7

D^{2} (D + 3)^{2} y = 0

(d^{4} + i^{2}) y = 0

y^{^{''}} + 9 y = 0, y (0) = 10, y^{^{'}} (0) = 0

What is the solution for y^{''}-4y^'+3y=0,y(0)=6,y^'(0)=10 ?
The solution for y^{''}-4y^'+3y=0,y(0)=6,y^'(0)=10 is y=2e^{3t}+4e^t