What is the solution for y^{''}+7y^'=0,y(0)=-5,y^'(0)=-21 ?

The solution for y^{''}+7y^'=0,y(0)=-5,y^'(0)=-21 is y=3e^{-7t}-8

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y^{''}+7y^'=0,y(0)=-5,y^'(0)=-21

y^{^{''}} + 7 y^{^{'}} = 0, y (0) = - 5, y^{^{'}} (0) = - 21

y = 3 e^{- 7 t} - 8

Solution steps

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

Solve linear ODE:

y = 3 e^{- 7 t} - 8

y = 3 e^{- 7 t} - 8

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t \to 0 lim (\frac{sin ( k ) t}{t})

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\int 3 x + x^{2} y d x

What is the solution for y^{''}+7y^'=0,y(0)=-5,y^'(0)=-21 ?
The solution for y^{''}+7y^'=0,y(0)=-5,y^'(0)=-21 is y=3e^{-7t}-8