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In: Advanced Math

Solve the following initial value problems and graph the solutions at times t = 1, 2,...

Solve the following initial value problems and graph the solutions at times t = 1, 2, and 3:
(a) u_t − 3u_x = 0, u(0, x) = e^−x^{2}
(b) u_t + 2u_x = 0, u(−1, x) = x/(1 + x^2)
(c) u_t + u_x + 1/2u = 0, u(0, x) = tan^−1 x;
(d) u_t− 4u_x + u = 0, u(0, x) = 1/(1 + x^2)\

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Expert Solution

Colby Messinger answered 9 months ago
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