What is the solution for y^{'''}+9y^'=0,y(0)=-21 ?

The solution for y^{'''}+9y^'=0,y(0)=-21 is y=-21-c_{2}+c_{2}cos(3t)+c_{3}sin(3t)

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y^{'''}+9y^'=0,y(0)=-21

y^{^{'''}} + 9 y^{^{'}} = 0, y (0) = - 21

y = - 21 - c_{2} + c_{2} cos (3 t) + c_{3} sin (3 t)

Solution steps

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

Solve linear ODE:

y = - 21 - c_{2} + c_{2} cos (3 t) + c_{3} sin (3 t)

y = - 21 - c_{2} + c_{2} cos (3 t) + c_{3} sin (3 t)

What is the solution for y^{'''}+9y^'=0,y(0)=-21 ?
The solution for y^{'''}+9y^'=0,y(0)=-21 is y=-21-c_{2}+c_{2}cos(3t)+c_{3}sin(3t)