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4- Linear differential equations Problems: Solve the following differential equations, 1) xy'-y x cosx, with y(7/2) = t. Ans.: y = x(sin x+1).

4- Linear differential equations Problems: Solve the following differential equations, 1) xy'-y x cosx, with y(7/2) = t. Ans.: y = x(sin x+1).

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4- Linear differential equations Problems: Solve the following differential equations, 1) xy' - y x cos x, with y(7/2) = . 2) dy = (sin? x.cos.x-2y cos.x)dx. 3) xyy' -xVy? +1 = xy + y +x+1. Ans.: y = x(sin x+ 1). Ans.: 4y-2 sin x(sin x+1)-1= Cesin . Ans.: Vy +1 = x(Ce" -1).
Transcribed Image Text:4- Linear differential equations Problems: Solve the following differential equations, 1) xy' - y x cos x, with y(7/2) = . 2) dy = (sin? x.cos.x-2y cos.x)dx. 3) xyy' -xVy? +1 = xy + y +x+1. Ans.: y = x(sin x+ 1). Ans.: 4y-2 sin x(sin x+1)-1= Cesin . Ans.: Vy +1 = x(Ce" -1).
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