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) 2xy-9x + (2y +x+1)_dy = 0 dx

) 2xy-9x + (2y +x+1)_dy = 0 dx

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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constant c 1) 2xy-9x² + (2y + x + 1)_dy = 0 dx 2) 2xy +4=2(3-xy)y' 3) 3y²e-1+(2ye³ +3 xy² e) dy = 0 dx Linear Equations | Equations Of Order One _dy + P(x) y = Q(x) dx ye/x = JQe/x dx + c 4) y + 2xy = x 5) y +_1_ y = sin x X 6) Solve the linear differential equation: +_dy_ = -2y dx FIND THE GENERAL SOLUTION from page 42 (a) Put the equation into standard form: dx + Py = Q. (b) Obtain the integrating factor exp (f Pdx) (c) Apply the integrating factor to the equation in its standard form. (d) Solve the resultant exact equation. Note in integrating the exact equation, that the integral of the left member is always the product of the dependent variable and the integrating factor used. 7) y' = x - 4xy 8) y = csc x − y cot x
Transcribed Image Text:constant c 1) 2xy-9x² + (2y + x + 1)_dy = 0 dx 2) 2xy +4=2(3-xy)y' 3) 3y²e-1+(2ye³ +3 xy² e) dy = 0 dx Linear Equations | Equations Of Order One _dy + P(x) y = Q(x) dx ye/x = JQe/x dx + c 4) y + 2xy = x 5) y +_1_ y = sin x X 6) Solve the linear differential equation: +_dy_ = -2y dx FIND THE GENERAL SOLUTION from page 42 (a) Put the equation into standard form: dx + Py = Q. (b) Obtain the integrating factor exp (f Pdx) (c) Apply the integrating factor to the equation in its standard form. (d) Solve the resultant exact equation. Note in integrating the exact equation, that the integral of the left member is always the product of the dependent variable and the integrating factor used. 7) y' = x - 4xy 8) y = csc x − y cot x
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