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Let G Be a Function of a Single Variable Having

Question 44

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Let g be a function of a single variable having continuous second order derivatives, and letu(x, y) = g(y + mx) , for some constant real number m. Determine all values of m such that u(x, y) satisfies the partial differential equation Let g be a function of a single variable having continuous second order derivatives, and letu(x, y)  = g(y + mx)  , for some constant real number m. Determine all values of m such that u(x, y)  satisfies the partial differential equation   - 10   + 24   = 0. A)  - 2 and 12 B)  - 4 and - 6 C)  2 and - 12 D)  4 and 6 E)  3 and 8 - 10 Let g be a function of a single variable having continuous second order derivatives, and letu(x, y)  = g(y + mx)  , for some constant real number m. Determine all values of m such that u(x, y)  satisfies the partial differential equation   - 10   + 24   = 0. A)  - 2 and 12 B)  - 4 and - 6 C)  2 and - 12 D)  4 and 6 E)  3 and 8 + 24 Let g be a function of a single variable having continuous second order derivatives, and letu(x, y)  = g(y + mx)  , for some constant real number m. Determine all values of m such that u(x, y)  satisfies the partial differential equation   - 10   + 24   = 0. A)  - 2 and 12 B)  - 4 and - 6 C)  2 and - 12 D)  4 and 6 E)  3 and 8 = 0.


A) - 2 and 12
B) - 4 and - 6
C) 2 and - 12
D) 4 and 6
E) 3 and 8

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