What is the solution for y^{''}+15y^'=0,y(0)=-27,y^'(0)=15 ?

The solution for y^{''}+15y^'=0,y(0)=-27,y^'(0)=15 is y=-e^{-15t}-26

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y^{''}+15y^'=0,y(0)=-27,y^'(0)=15

y^{^{''}} + 15 y^{^{'}} = 0, y (0) = - 27, y^{^{'}} (0) = 15

y = - e^{- 15 t} - 26

Solution steps

y^{''} (t) + 15 y^{'} (t) = 0

Solve linear ODE:

y = - e^{- 15 t} - 26

y = - e^{- 15 t} - 26

What is the solution for y^{''}+15y^'=0,y(0)=-27,y^'(0)=15 ?
The solution for y^{''}+15y^'=0,y(0)=-27,y^'(0)=15 is y=-e^{-15t}-26