Given the following ODE: rewrite it as Here M(x, y) = 0 and N (x, y) = dy dx - 4x4 + 2y -2x + 2y Otherwise solve the ODE and enter the solution on right: = C. M(x, y) dx + N(x, y) dy = 0 Next, determine whether the ODE is exact or not. If it is not exact, enter not exact in box below. Remark : Keep in mind the solutions are in form: F(x, y) = C. So what you need to enter in box should be F(x, y).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given the following ODE:
rewrite it as
Here M(x, y) = and N(x, y) =
dy
dx
Otherwise solve the ODE and enter the solution on right:
4x² + 2y
-2x + 2y
M(x, y) dx + N(x, y) dy = 0
Next, determine whether the ODE is exact or not. If it is not exact, enter not exact in box below.
= C.
Remark : Keep in mind the solutions are in form: F(x, y) = C. So what you need to enter in box should be F(x, y).
Transcribed Image Text:Given the following ODE: rewrite it as Here M(x, y) = and N(x, y) = dy dx Otherwise solve the ODE and enter the solution on right: 4x² + 2y -2x + 2y M(x, y) dx + N(x, y) dy = 0 Next, determine whether the ODE is exact or not. If it is not exact, enter not exact in box below. = C. Remark : Keep in mind the solutions are in form: F(x, y) = C. So what you need to enter in box should be F(x, y).
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