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Consider the differential equation: (x + 1) dy -y + 10 dx (a) Is the equation separable? If yes, write it in the form = f(x)g(y). dy %3D (b) Is the equation linear? If yes, write it in the form + p(x)y = f(x). dy (c) Is the equation exact? If yes, write it in the form M(x, y) + N(x, y) = %3| and show that it is exact.

Consider the differential equation: (x + 1) dy -y + 10 dx (a) Is the equation separable? If yes, write it in the form = f(x)g(y). dy %3D (b) Is the equation linear? If yes, write it in the form + p(x)y = f(x). dy (c) Is the equation exact? If yes, write it in the form M(x, y) + N(x, y) = %3| and show that it is exact.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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dy (x+ 1) dx 3. Consider the differential equation: -y + 10 Do not solve the equation. (a) Is the equation separable? If yes, write it in the form = f(x)g(y). dx (b) Is the equation linear? If yes, write it in the form 4 + p(x)y = f(x). dy dx (c) Is the equation exact? If yes, write it in the form M(x, y) + N(x, y) = 0 dx and show that it is exact.
Transcribed Image Text:dy (x+ 1) dx 3. Consider the differential equation: -y + 10 Do not solve the equation. (a) Is the equation separable? If yes, write it in the form = f(x)g(y). dx (b) Is the equation linear? If yes, write it in the form 4 + p(x)y = f(x). dy dx (c) Is the equation exact? If yes, write it in the form M(x, y) + N(x, y) = 0 dx and show that it is exact.
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