Determine if the following Differential Equation is an Exact/Inexact. If it is an inexact Differential Equation, then solve it by finding the Integrating Factor. dy (a) (x+ 1) + (x + 2) y = 2 T e=* dr dy + (sin x) y = 1 dr (b) cos x

Determine if the following Differential Equation is an Exact/Inexact. If it is an inexact Differential Equation, then solve it by finding the Integrating Factor. dy (a) (x+ 1) + (x + 2) y = 2 T e=* dr dy + (sin x) y = 1 dr (b) cos x

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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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Determine if the following Differential Equation is an Exact/Inexact. If it is an
inexact Differential Equation, then solve it by finding the Integrating Factor.
dy
(a) (x+ 1)
+ (х+2) у %3D 2хе-^
dr
dy
(b) сos x
+ (sin x) y = 1
dr
Solve the following Second Order Differential Equations:
(a) y" + 25y = 20 sin 5x

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