Consider the differential equation for y (- 5ӕ — у)da + xdy — 0. ON 1. Express the equation into the form Mdx + Ndy O and find dy ON ду 2. Find an integrating factor. Your answer should be a single variable function. 3. Reduce the equation to an exact equation. The resulting exact equation is dx + dy = 0. OF 4. Find a simplest function F so that OF -dx + dy O is the same as the exact equation you dy obtained in part 3. Don't involve unknown constants in your function F. F= 4. Find the general solution of the exact equation EXPLICITLY. Use the letter c for the constant. y =
Consider the differential equation for y (- 5ӕ — у)da + xdy — 0. ON 1. Express the equation into the form Mdx + Ndy O and find dy ON ду 2. Find an integrating factor. Your answer should be a single variable function. 3. Reduce the equation to an exact equation. The resulting exact equation is dx + dy = 0. OF 4. Find a simplest function F so that OF -dx + dy O is the same as the exact equation you dy obtained in part 3. Don't involve unknown constants in your function F. F= 4. Find the general solution of the exact equation EXPLICITLY. Use the letter c for the constant. y =
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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Transcribed Image Text:Question 5
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Consider the differential equation for y
(— 5ӕ — у)da + xdy — 0.
ON
1. Express the equation into the form Mdx + Ndy = 0 and find
ду
ON
2. Find an integrating factor. Your answer should be a single variable function.
)=
3. Reduce the equation to an exact equation. The resulting exact equation is
dx +
dy = 0.
OF
4. Find a simplest function F so that
OF
-dy
ду
O is the same as the exact equation you
obtained in part 3. Don't involve unknown constants in your function F.
F=
4. Find the general solution of the exact equation EXPLICITLY. Use the letter c for the constant.
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