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Consider the differential equation for y (4x – y)dx + ædy = 0. aN 1. Express the equation into the form Mdx + Ndy = 0 and find dy 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 OF -dx + dy 4. Find a simplest function F so that -dy = 0 is the same as the exact equation you dx 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 (4x – y)dx + ædy = 0. aN 1. Express the equation into the form Mdx + Ndy = 0 and find dy 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 OF -dx + dy 4. Find a simplest function F so that -dy = 0 is the same as the exact equation you dx 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
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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Consider the differential equation for y (4х — у)dx + zdy —D 0. - ON 1. Express the equation into the form Mdx + Ndy O and find ду ON dy 2. Find an integrating factor. Your answer should be a single variable function. )3= 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 ду 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 =
Transcribed Image Text:Consider the differential equation for y (4х — у)dx + zdy —D 0. - ON 1. Express the equation into the form Mdx + Ndy O and find ду ON dy 2. Find an integrating factor. Your answer should be a single variable function. )3= 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 ду 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 =
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