Solve ๐œ•^2๐‘ง/๐œ•๐‘ฅ^2=๐‘ฅ๐‘ฆ subject to the conditions ๐œ•๐‘ง/๐œ•๐‘ฅ=log(1 + ๐‘ฆ), when ๐‘ฅ = 1 and ๐‘ง=0, when ๐‘ฅ=0.

5.B] Solve \frac{\partial ^{2}z}{\partial x^{2}}+\frac{\partial z}{\partial x}-4z=0 , given that when x = 0, z = 1 and \frac{\partial z}{\partial x}=y

5.B] Solve ๐œ•^2๐‘ง/๐œ•๐‘ฅ^2=๐‘ฅ๐‘ฆ subject to the conditions ๐œ•๐‘ง/๐œ•๐‘ฅ=log(1 + ๐‘ฆ), when ๐‘ฅ = 1 and ๐‘ง=0, when ๐‘ฅ=0.

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