What is the solution for y^{''}-4pi^2y=0,y(0)=0,y^'(1)=0 ?

The solution for y^{''}-4pi^2y=0,y(0)=0,y^'(1)=0 is y=0

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y^{''}-4pi^2y=0,y(0)=0,y^'(1)=0

y^{^{''}} - 4 π^{2} y = 0, y (0) = 0, y^{^{'}} (1) = 0

y = 0

Solution steps

y^{''} (t) - 4 π^{2} y = 0

Solve linear ODE:

y = 0

y = 0

\frac{d ^{2} x}{d t ^{2}} = a (x)

x^{^{''}} - 3 x^{^{'}} - 3 x = 0, x (0) = 1

49 y^{^{''}} - 81 y = 0, y (0) = 1, y^{^{'}} (0) = 0

y^{^{''}} + 36 y = 0, y (0) = 4, y^{^{'}} (0) = - 4

y^{^{''''''}} - 64 y = 0

What is the solution for y^{''}-4pi^2y=0,y(0)=0,y^'(1)=0 ?
The solution for y^{''}-4pi^2y=0,y(0)=0,y^'(1)=0 is y=0