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Let M(r, y) dr + N (r. y) dy = 0 be an exact differential equation in the region R of the ry-plane. An alternative method for solving the equation is [ M(u, y) du + N(a, v) du = c, (a, b, c) € R. (3) %3D Use Eq. (3) to solve the following exact equation (3r + ) dr + (r+ 81) du

Let M(r, y) dr + N (r. y) dy = 0 be an exact differential equation in the region R of the ry-plane. An alternative method for solving the equation is [ M(u, y) du + N(a, v) du = c, (a, b, c) € R. (3) %3D Use Eq. (3) to solve the following exact equation (3r + ) dr + (r+ 81) du

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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solve y' + 2y = 4, y(0) = 3 by one of the usual methods. Solve same the problem by Picard's method and compare the results. %3D Use Picard's method to find y1, Y2, y3. Determine the limit of the sequence {yn(x)} as n → o for dy = r+y, dr y(0) = 1. Let M(r, y) dr + N(r, y) dy = 0 be an exact differential equation in the region R of the ry-plane. An alternative method for solving the equation is %3D | M(u, y) du + N(a, v) dv = c, (a, b, c) E R. (3) Use Eq. (3) to solve the following exact equation (3x + y) dr + (x + 8y) dy = 0.
Transcribed Image Text:solve y' + 2y = 4, y(0) = 3 by one of the usual methods. Solve same the problem by Picard's method and compare the results. %3D Use Picard's method to find y1, Y2, y3. Determine the limit of the sequence {yn(x)} as n → o for dy = r+y, dr y(0) = 1. Let M(r, y) dr + N(r, y) dy = 0 be an exact differential equation in the region R of the ry-plane. An alternative method for solving the equation is %3D | M(u, y) du + N(a, v) dv = c, (a, b, c) E R. (3) Use Eq. (3) to solve the following exact equation (3x + y) dr + (x + 8y) dy = 0.
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