What is the solution for y^{''}+3y^'=0,y(0)=9,y^'(0)=-6 ?

The solution for y^{''}+3y^'=0,y(0)=9,y^'(0)=-6 is y=2e^{-3t}+7

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y^{''}+3y^'=0,y(0)=9,y^'(0)=-6

y^{^{''}} + 3 y^{^{'}} = 0, y (0) = 9, y^{^{'}} (0) = - 6

y = 2 e^{- 3 t} + 7

Solution steps

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

Solve linear ODE:

y = 2 e^{- 3 t} + 7

y = 2 e^{- 3 t} + 7

n = 1 \sum \infty n (1 - p)^{n - 1}

9 x, x^{2} - 10, 0

\int e^{6 x} x^{3} d x

y = ln (\frac{x + 3}{x - 3})

\frac{\partial}{\partial x} (y^{6} - 5 x y)

What is the solution for y^{''}+3y^'=0,y(0)=9,y^'(0)=-6 ?
The solution for y^{''}+3y^'=0,y(0)=9,y^'(0)=-6 is y=2e^{-3t}+7