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Prove that by starting with = N(r, y), you can obtain the following equations: f(1, y) = | N(r,y) dy + h(x) k'(r) = M(r,y) – - N(1,y) dy as solutions to exact differential equations. %3D

Prove that by starting with = N(r, y), you can obtain the following equations: f(1, y) = | N(r,y) dy + h(x) k'(r) = M(r,y) – - N(1,y) dy as solutions to exact differential equations. %3D

Calculus For The Life Sciences
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.CR: Chapter 11 Review
Problem 15CR
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The alternative formula for the solution of an exact DE starting with N(x,y) instead of M(x,y).
Prove that by starting with - = N(r, y), you can obtain the following equations: f(r, y) = | N(r,y) dy + h(r) h'(x) = M(r,y) –-N(r,y) dy as solutions to exact differential equations. %3D
Transcribed Image Text:Prove that by starting with - = N(r, y), you can obtain the following equations: f(r, y) = | N(r,y) dy + h(r) h'(x) = M(r,y) –-N(r,y) dy as solutions to exact differential equations. %3D
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