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PDE Solve using the method of characteristics Plot the intial conditions and then solve the parial...

PDE

Solve using the method of characteristics

Plot the intial conditions and then solve the parial differential equation

utt = c² uxx, -∞ < x < ∞, t > 0

u(x,0) = { 0 if x < -1 , 1-x² if -1≤ x ≤1, 0 if x > 0

ut(x,0) = 0

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