Consider the differential equation d xcos(y)+(x+2)sin(y) = 0. First, show this equation is not exact. However, multiplying by µ(x) = A(x)e* ren- ders the above differential equation exact for a specific choice of A(x). Find this A(x) and then solve the exact equation A(x)excos(y) +A(x)e*(x+2)sin(y) = 0. dy dx
Consider the differential equation d xcos(y)+(x+2)sin(y) = 0. First, show this equation is not exact. However, multiplying by µ(x) = A(x)e* ren- ders the above differential equation exact for a specific choice of A(x). Find this A(x) and then solve the exact equation A(x)excos(y) +A(x)e*(x+2)sin(y) = 0. dy dx
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 9E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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