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picture1_Initial Value Problem Differential Equations 175599 | Problem28


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File: Initial Value Problem Differential Equations 175599 | Problem28
EXAMPLE: PROBLEM 2.1.28 OF THE TEXT 110.302 DIFFERENTIAL EQUATIONS PROFESSORRICHARDBROWN Problem. Consider the Initial Value Problem y′ + 2y = 1− 1t, y(0) = y . 3 2 ...

icon picture PDF Filetype PDF | Posted on 28 Jan 2023 | 2 years ago

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...Example problem of the text differential equations professorrichardbrown consider initial value y t find for which solution touches but does not cross axis strategy this ode is linear so general can be found by using an integrating factor we solve and then write in terms use properties particular are looking locate proper already standard form to read o coecient function equation get p thus integration r dt e multiply through te d h i now integrate with respect z c solving ce professor richard brown a parameter family solutions parameterized constant however also parameterize curves directly data better as it ties their intercept here that our at right some representa tive dierent values notice look like there will curve touch anytime one trying pick out pa rameterized them must make distinguish ing carefully given points on di rectly usually case instead certain firstly point wedonotknowwhere sowecan figure few representative where intersection coordinate would zero secondly since smo...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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Posted on: 28 Jan 2023 | 2 years ago
										
										
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