Show that :(I) u = e^xsiny is a solution of Laplace's equation.

(ii) u = x^2+t^2 is a solution of the wave equation.

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  1. Show that: (I) u = e^xsiny is a solution of Laplace's equation.(ii) u = x^2+t^2 is a solution of the wave equation.
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  2. Show that :(i) u=e^xsiny is a solution of Laplace's equation.(ii) u= x^2+t^2 is a solution of the wave equation.
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  3. Show that : (I) u = e^xsiny is a solution of Laplace's equation.(ii) u= x^2+t^2 is a solution of the wave equation.
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