Question: error in solve ODE

Hi:

when use the dsolve,numeric,I see error,why?

f := (x, t) -> piecewise(t < 10, 0.480e9*(1-(1/10)*t)*sin(Pi*x), 10 < t, 0)

eq1 := diff(y(t), t, t)-y(t)^2-f(x,t) = 0:
eq2 :=simplify( int(lhs(eq1)*sin(Pi*x), x = 0 .. 1) = 0):

dsolve({eq2, y(0) = 0, (D(y))(0) = 0}, numeric)

initial conditions are zero.

 

 

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