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6_4_First_Order_Linear_DiffEq

6_4_First_Order_Linear_DiffEq - 6.4 First Order Linear Diff...

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Unformatted text preview: 6.4 First Order Linear Diff Eq. HW: p. 438 # 1 9 Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: intro (1 of 12) 6.4 First Order Linear Diff Eq. Consider the following. Can we solve either? Not separable. Not homogeneous. Separable but cannot solve w present methods Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: intro (2 of 12) 6.4 First Order Linear Diff Eq. Def: First Order Linear Diff EQ standard form: where P, Q are continuous functions of x Does this help to solve the previous diff eqs? Need to check to see if they can be converted to this standard form. Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: Definition: 1st Order Diff Eq (3 of 12) 6.4 First Order Linear Diff Eq. Can we rearrange to standard form for 1st order linear diff eq? #4. Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: check standard form (4 of 12) 6.4 First Order Linear Diff Eq. Can we rearrange to standard form for 1st order linear diff eq? #2. Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: check standard form (5 of 12) 6.4 First Order Linear Diff Eq. How to solve? http://www.battaly.com/calc/calchw.htm#Solve%20Linear%20Diff%20EQ why? see page 12 Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: Solve 1st Order Linear Diffeq (6 of 12) 6.4 First Order Linear Diff Eq. Solve: page 6 Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: example (7 of 12) 6.4 First Order Linear Diff Eq. Solve: page 6 Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: example (8 of 12) 6.4 First Order Linear Diff Eq. Solve: page 6 Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: example (9 of 12) 6.4 First Order Linear Diff Eq. Solve: page 6 Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: example (10 of 12) 6.4 First Order Linear Diff Eq. Solve: page 6 Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: example (11 of 12) 6.4 First Order Linear Diff Eq. return to page 6 Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: example (12 of 12) ...
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