Find the most general functions X(x) and Y(y), each of one variable, such that Z(x, y) = XY satisfies the partial differential equation Ə2z dz . дх2 - ду = Obtain a solution of the above equation which satisfies the boun- dary conditions : when x = 0 or π z = 0 z = sin 3x when y = 0 and 0 < x < π.

Q: Find the general Solution of the Partial differential equation (xz + yz)p+ (xz- yz)q = x' + y?

A: This is Lagrang's linear equation so solve using auxiliary equation.

Q: Solve the followi

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