Verify that the following expressions are solutions to the indicated PDEs for an appropriate value of the parameter C. U(x,t)=x^(3)+3xt^(2),C^(2)(d^(2)U)/(dx^(2))=(d^(2)U)/(dt^(2)) U(x,t) = x³ + 3.x. t² C² ∂²U/∂x² = ∂²U/∂t²
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∂U/∂x = 3x² + 3t² ∂²U/∂x² = 6x Show more…
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