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(0) Use variable and separable method to solve the differential equation: dy x?. - 3 xy- 2y? = 0 (ii) Use method of Integrating Factor to solve the differential equation: dy (1+ x?). +2xy3D (1+ x') Given that y =1 when x = 0

(0) Use variable and separable method to solve the differential equation: dy x?. - 3 xy- 2y? = 0 (ii) Use method of Integrating Factor to solve the differential equation: dy (1+ x?). +2xy3D (1+ x') Given that y =1 when x = 0

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Q2. (a) (1) Use variable and separable method to solve the differential equation: dy x?. 3 x y- 2y? 0 dx (ii) Use method of Integrating Factor to solve the differential equation: dy +2xy = 1 (1+ x?). xp. (1+ x) Given that y =1 when x 0 (b) Use the method of complementary functions and particular solutions, to determine the general solution of: d'x 3 dt? dx - 4x = 2 e-t dt dx Whent = 0, x = 0 and = -5. dt (c) Use the method of Laplace Transforms to find the solution of: d²y dt? dy dt + 2 = 2 sinh t Given that y, 1 and y, 0. = O O
Transcribed Image Text:Q2. (a) (1) Use variable and separable method to solve the differential equation: dy x?. 3 x y- 2y? 0 dx (ii) Use method of Integrating Factor to solve the differential equation: dy +2xy = 1 (1+ x?). xp. (1+ x) Given that y =1 when x 0 (b) Use the method of complementary functions and particular solutions, to determine the general solution of: d'x 3 dt? dx - 4x = 2 e-t dt dx Whent = 0, x = 0 and = -5. dt (c) Use the method of Laplace Transforms to find the solution of: d²y dt? dy dt + 2 = 2 sinh t Given that y, 1 and y, 0. = O O
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