For each of the following problems, determine which are exact differentials, and hence solve the differential equations

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For each of the following problems, determine which are exact differentials, and hence solve the differential equations where possible:

(a) 2x1 dx = a - 2x7, x(1) = 2 dt (b) (2xt + 2t + f) dx + x + 2x = 0, x(2) = 2 dt dx (c) (t cos.xt) + xcos.xt

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 19, 2024 02:03 AM

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For each of the following problems, determine which are exact differentials, and hence solve the differential equations

Question:

(a) 2x1 dx = a - 2x4, x(1) = 2 dt (b) (2xt + 2t + f) dx + x + 2x = 0, x(2) = 2 dt dx (c) (t cos.xt) + xcos.xt + 1 = 0, x(T) = 0 dt dx dr (d) (t cosxt)- - xcos xt =0, x() = 0 (e) te dx + 1 + xe" = 0, x(2) = 4 dt

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