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

The solution for y^{''}+ay=0,y(0)=0,y(5)=0 is y=0*sin(sqrt(a)t)

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y^{''}+ay=0,y(0)=0,y(5)=0

y^{^{''}} + a y = 0, y (0) = 0, y (5) = 0

y = 0 \cdot sin (a t)

Solution steps

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

Solve linear ODE:

y = 0 \cdot sin (a t)

y = 0 \cdot sin (a t)

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 1, y^{^{'}} (0) = 1

y^{^{''}} - 18 y^{^{'}} + 162 y = 0

\frac{d ^{2} y}{d x ^{2}} - 8 \frac{d y}{d x} + 17 y = 0

x^{^{'''}} + 9 x^{^{''}} + 15 x^{^{'}} - 25 x = 0

2 y^{^{''}} - y^{^{'}} - 2 y = 0

What is the solution for y^{''}+ay=0,y(0)=0,y(5)=0 ?
The solution for y^{''}+ay=0,y(0)=0,y(5)=0 is y=0*sin(sqrt(a)t)