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Popular >

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

Solution

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

Solution

y = c_{1} cos (3 t) + c_{2} sin (3 t)

Solution steps

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

Solve linear ODE:

y = c_{1} cos (3 t) + c_{2} sin (3 t)

y = c_{1} cos (3 t) + c_{2} sin (3 t)

Popular Examples

2y^{''}+3y^'-2y=0,y(0)=1,y(0)=7

2 y^{^{''}} + 3 y^{^{'}} - 2 y = 0, y (0) = 1, y (0) = 7

2y^{''}+9y^'+8y=0,y(0)=5,y^'(0)=0

2 y^{^{''}} + 9 y^{^{'}} + 8 y = 0, y (0) = 5, y^{^{'}} (0) = 0

(d^2x)/(dt^2)+2a(dx)/(dt)+b^2x=0,a<b

\frac{d ^{2} x}{d t ^{2}} + 2 a \frac{d x}{d t} + b^{2} x = 0, a < b

x^{''}+4x^'+5x=0,x(0)=0,x^'(0)=4

x^{^{''}} + 4 x^{^{'}} + 5 x = 0, x (0) = 0, x^{^{'}} (0) = 4

y^{''}+81y=0,y(0)=3,y^'(0)=8

y^{^{''}} + 81 y = 0, y (0) = 3, y^{^{'}} (0) = 8

Frequently Asked Questions (FAQ)

What is the solution for (y^{''})+9y=0 ?
The solution for (y^{''})+9y=0 is y=c_{1}cos(3t)+c_{2}sin(3t)